Atkin-Lehner |
2- 3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610bi |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
2971345680 = 24 · 310 · 5 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-482,-2991] |
[a1,a2,a3,a4,a6] |
j |
16954786009/4075920 |
j-invariant |
L |
4.1475246022634 |
L(r)(E,1)/r! |
Ω |
1.0368811511769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870d1 |
Quadratic twists by: -3 |