Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814y |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
3796532985856 = 224 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 1 3 4 2 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-416179,-103374623] |
[a1,a2,a3,a4,a6] |
j |
3628559153588772781/1728053248 |
j-invariant |
L |
9.0223726021456 |
L(r)(E,1)/r! |
Ω |
0.18796609587849 |
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 |
34814k1 |
Quadratic twists by: 13 |