Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008o |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
712704 |
Modular degree for the optimal curve |
Δ |
9.8200287579664E+18 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2924618,-1918205904] |
[a1,a2,a3,a4,a6] |
Generators |
[342008:200008440:1] |
Generators of the group modulo torsion |
j |
43226625391318848088000/153437949343225377 |
j-invariant |
L |
3.3091706450924 |
L(r)(E,1)/r! |
Ω |
0.11547154014582 |
Real period |
R |
3.5822361952927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008d1 62016t1 93024s1 |
Quadratic twists by: -4 8 -3 |