Atkin-Lehner |
2+ 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7626b |
Isogeny class |
Conductor |
7626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
209156898816 = 216 · 34 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2714,48660] |
[a1,a2,a3,a4,a6] |
j |
2212092327708073/209156898816 |
j-invariant |
L |
1.946848199098 |
L(r)(E,1)/r! |
Ω |
0.973424099549 |
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 |
61008s1 22878e1 |
Quadratic twists by: -4 -3 |