Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400r |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
7250000000000 = 210 · 512 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5133,-55363] |
[a1,a2,a3,a4,a6] |
j |
934979584/453125 |
j-invariant |
L |
4.7369613994171 |
L(r)(E,1)/r! |
Ω |
0.59212017493648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400cg1 5800i1 9280l1 |
Quadratic twists by: -4 8 5 |