Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cl |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
155585190297600 = 232 · 32 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17536,656564] |
[a1,a2,a3,a4,a6] |
j |
145606291302529/37984665600 |
j-invariant |
L |
2.1574663463307 |
L(r)(E,1)/r! |
Ω |
0.53936658658924 |
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 |
4830s1 115920dw1 |
Quadratic twists by: -4 -3 |