Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91960h |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
9478559974400 = 210 · 52 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6816,160316] |
[a1,a2,a3,a4,a6] |
Generators |
[7498:228555:8] |
Generators of the group modulo torsion |
j |
19307236/5225 |
j-invariant |
L |
10.123772685022 |
L(r)(E,1)/r! |
Ω |
0.67962136918135 |
Real period |
R |
7.4480976789307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360j1 |
Quadratic twists by: -11 |