Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9610a |
Isogeny class |
Conductor |
9610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2817291684966400 = -1 · 212 · 52 · 317 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101886,-12817861] |
[a1,a2,a3,a4,a6] |
Generators |
[441:5095:1] |
Generators of the group modulo torsion |
j |
-131794519969/3174400 |
j-invariant |
L |
7.8140676094723 |
L(r)(E,1)/r! |
Ω |
0.13342052332184 |
Real period |
R |
4.880600709522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76880t1 86490bl1 48050e1 310b1 |
Quadratic twists by: -4 -3 5 -31 |