Atkin-Lehner |
2+ 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650a |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17510400 |
Modular degree for the optimal curve |
Δ |
6620377050000000000 = 210 · 39 · 511 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-295612917,-1956216045259] |
[a1,a2,a3,a4,a6] |
Generators |
[-1450400029240673:717206511005649:146113369163] |
Generators of the group modulo torsion |
j |
9289292010549045279147/21526400000 |
j-invariant |
L |
4.8906962193295 |
L(r)(E,1)/r! |
Ω |
0.036409834338722 |
Real period |
R |
16.790436877114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ch1 19530bm1 |
Quadratic twists by: -3 5 |