Atkin-Lehner |
2- 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838cr |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
304685688585500586 = 2 · 35 · 711 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-373724,83800422] |
[a1,a2,a3,a4,a6] |
j |
49066887527994673/2589785621514 |
j-invariant |
L |
9.072743024146 |
L(r)(E,1)/r! |
Ω |
0.30242478445131 |
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 |
15834l1 |
Quadratic twists by: -7 |