Atkin-Lehner |
2- 5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23870n |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
1140 |
Product of Tamagawa factors cp |
deg |
4268160 |
Modular degree for the optimal curve |
Δ |
2.0181953813337E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72945108,103867891127] |
[a1,a2,a3,a4,a6] |
Generators |
[-6043:572205:1] |
Generators of the group modulo torsion |
j |
42925189532001431787537121809/20181953813337333563392000 |
j-invariant |
L |
7.252487147957 |
L(r)(E,1)/r! |
Ω |
0.061051725127657 |
Real period |
R |
0.41681579468812 |
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 |
119350e1 |
Quadratic twists by: 5 |