Atkin-Lehner |
2- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125732b |
Isogeny class |
Conductor |
125732 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576576 |
Modular degree for the optimal curve |
Δ |
-73934662221104 = -1 · 24 · 17 · 437 |
Discriminant |
Eigenvalues |
2- 1 3 0 -6 -7 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32049,-2257492] |
[a1,a2,a3,a4,a6] |
j |
-35995648/731 |
j-invariant |
L |
1.4255493678608 |
L(r)(E,1)/r! |
Ω |
0.17819368279573 |
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 |
2924b1 |
Quadratic twists by: -43 |