Atkin-Lehner |
2- 7- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15106h |
Isogeny class |
Conductor |
15106 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-3390269792 = -1 · 25 · 7 · 133 · 832 |
Discriminant |
Eigenvalues |
2- 1 2 7- -1 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-312,3488] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1026:1] |
Generators of the group modulo torsion |
j |
-3359498792833/3390269792 |
j-invariant |
L |
9.6214293563664 |
L(r)(E,1)/r! |
Ω |
1.2840888221148 |
Real period |
R |
0.24976022402461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120848e1 105742f1 |
Quadratic twists by: -4 -7 |