Atkin-Lehner |
2- 3- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862bh |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
962974221124608 = 210 · 312 · 74 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96035,-11333149] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:370:1] |
Generators of the group modulo torsion |
j |
134363270495931625/1320952292352 |
j-invariant |
L |
9.0345952981268 |
L(r)(E,1)/r! |
Ω |
0.27136279907354 |
Real period |
R |
3.3293418705617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30954h1 |
Quadratic twists by: -3 |