Atkin-Lehner |
2- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480br |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
40555520 = 210 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52805,4688117] |
[a1,a2,a3,a4,a6] |
j |
15902196690141184/39605 |
j-invariant |
L |
5.3570127155456 |
L(r)(E,1)/r! |
Ω |
1.3392531788867 |
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 |
28480w1 7120k1 |
Quadratic twists by: -4 8 |