Atkin-Lehner |
2+ 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346q |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-5320060149492 = -1 · 22 · 38 · 113 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3681,-139455] |
[a1,a2,a3,a4,a6] |
j |
-7567631909137/7297750548 |
j-invariant |
L |
3.538455325244 |
L(r)(E,1)/r! |
Ω |
0.29487126885734 |
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 |
34782bg1 |
Quadratic twists by: -3 |