Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
32480i |
Isogeny class |
Conductor |
32480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-437050880000 = -1 · 212 · 54 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 0 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5752,-170896] |
[a1,a2,a3,a4,a6] |
j |
-5138311113216/106701875 |
j-invariant |
L |
6.5704020423627 |
L(r)(E,1)/r! |
Ω |
0.27376675176517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32480l1 64960z1 |
Quadratic twists by: -4 8 |