Atkin-Lehner |
2+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7696b |
Isogeny class |
Conductor |
7696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
270529792 = 28 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 1 -2 3 3 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4089,-102013] |
[a1,a2,a3,a4,a6] |
j |
29542094605312/1056757 |
j-invariant |
L |
2.3880716339405 |
L(r)(E,1)/r! |
Ω |
0.59701790848513 |
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 |
3848a1 30784l1 69264p1 100048d1 |
Quadratic twists by: -4 8 -3 13 |