Atkin-Lehner |
2- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123370z |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4387968 |
Modular degree for the optimal curve |
Δ |
-4995277033979248640 = -1 · 224 · 5 · 138 · 73 |
Discriminant |
Eigenvalues |
2- 3 5- 0 3 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,127563,106060621] |
[a1,a2,a3,a4,a6] |
j |
281419546239/6123683840 |
j-invariant |
L |
13.086884589988 |
L(r)(E,1)/r! |
Ω |
0.18176228966868 |
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 |
123370e1 |
Quadratic twists by: 13 |