Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020r |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
11205810000 = 24 · 33 · 54 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-672,4361] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:35:1] [-20:99:1] |
Generators of the group modulo torsion |
j |
226492416/75625 |
j-invariant |
L |
12.151139359407 |
L(r)(E,1)/r! |
Ω |
1.1762338730843 |
Real period |
R |
0.43043946014324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97020j1 97020d1 |
Quadratic twists by: -3 -7 |