Atkin-Lehner |
2+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103090c |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
23554827920 = 24 · 5 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-848,-6352] |
[a1,a2,a3,a4,a6] |
j |
13997521/4880 |
j-invariant |
L |
3.6393639236595 |
L(r)(E,1)/r! |
Ω |
0.90984098283184 |
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 |
610c1 |
Quadratic twists by: 13 |