Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cb |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
74317824 |
Modular degree for the optimal curve |
Δ |
1.8856586029551E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-709430643,-3040869636558] |
[a1,a2,a3,a4,a6] |
Generators |
[22666062730264196741889420849463:2085268637197531917902701666757494:689666383933955260042032577] |
Generators of the group modulo torsion |
j |
489781415227546051766883/233890092903563264000 |
j-invariant |
L |
6.0934141128967 |
L(r)(E,1)/r! |
Ω |
0.030666176029351 |
Real period |
R |
49.675366330844 |
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 |
14490c1 115920cl1 |
Quadratic twists by: -4 -3 |