Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290dy |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-1087447936561959280 = -1 · 24 · 5 · 78 · 119 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,245930,17812675] |
[a1,a2,a3,a4,a6] |
j |
5929741/3920 |
j-invariant |
L |
5.5321048697781 |
L(r)(E,1)/r! |
Ω |
0.17287827737518 |
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 |
8470q1 59290bl1 |
Quadratic twists by: -7 -11 |