Atkin-Lehner |
2- 3+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7626h |
Isogeny class |
Conductor |
7626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
114893316 = 22 · 36 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-602,5411] |
[a1,a2,a3,a4,a6] |
j |
24130052890273/114893316 |
j-invariant |
L |
3.759736168691 |
L(r)(E,1)/r! |
Ω |
1.8798680843455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61008o1 22878b1 |
Quadratic twists by: -4 -3 |