Atkin-Lehner |
2- 3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680bx |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
25926303744000 = 221 · 35 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- 1 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7920,119232] |
[a1,a2,a3,a4,a6] |
Generators |
[104:640:1] |
Generators of the group modulo torsion |
j |
13415107060081/6329664000 |
j-invariant |
L |
6.1746775974873 |
L(r)(E,1)/r! |
Ω |
0.59764091378321 |
Real period |
R |
0.86097931992438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210x1 |
Quadratic twists by: -4 |