Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432bv |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4216320 |
Modular degree for the optimal curve |
Δ |
-508616322014239488 = -1 · 28 · 315 · 72 · 414 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40666509,-99803207727] |
[a1,a2,a3,a4,a6] |
j |
-592923077334706559623168/40546581793227 |
j-invariant |
L |
0.95655582249938 |
L(r)(E,1)/r! |
Ω |
0.029892368905458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108m1 96432ce1 |
Quadratic twists by: -4 -7 |