Atkin-Lehner |
2+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9656a |
Isogeny class |
Conductor |
9656 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
308615249151735808 = 211 · 174 · 715 |
Discriminant |
Eigenvalues |
2+ -1 2 1 6 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293352,55102828] |
[a1,a2,a3,a4,a6] |
Generators |
[-2182:85697:8] |
Generators of the group modulo torsion |
j |
1363208861955090386/150691039624871 |
j-invariant |
L |
4.3301219991162 |
L(r)(E,1)/r! |
Ω |
0.29665528086137 |
Real period |
R |
0.72982385254414 |
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 |
19312b1 77248k1 86904l1 |
Quadratic twists by: -4 8 -3 |