Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920dx |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
37690284441600 = 218 · 36 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21747,1198514] |
[a1,a2,a3,a4,a6] |
j |
380920459249/12622400 |
j-invariant |
L |
2.5805598677585 |
L(r)(E,1)/r! |
Ω |
0.64514000139967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490ba1 12880n1 |
Quadratic twists by: -4 -3 |