Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995f |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78397440 |
Modular degree for the optimal curve |
Δ |
-3.1201507265311E+29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1557654143,-35806811634394] |
[a1,a2,a3,a4,a6] |
Generators |
[1201423711479935208937220551873586885834141247431921075647804940402367691072344955548375837992557698125782916643716023063172678753970227166798668591434167834907284725520318536041061110669558788966498453238127034490435620930916968446379778686:-505089896919330563648201282197316694049104868007753022219418603172828902050209509832419365061142210639049364117263923858358011956594269405451831028044036916312533244972415801991966962145935035151028391998303790577359194313154189627902175593303:6468018554260662899474950107856881776140098474959689556024923968863342556158866895254621812250873767356574506801792943371308716102345090674679964017301685218077004582256626835137187866776547824017962331075240079599180873745805478515281] |
Generators of the group modulo torsion |
j |
-573336099086230005933466855081/428004214887668313443934375 |
j-invariant |
L |
4.3374083680388 |
L(r)(E,1)/r! |
Ω |
0.011637636596096 |
Real period |
R |
372.70525954505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25665l1 |
Quadratic twists by: -3 |