Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776q |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
42888237056 = 212 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 2 2 7- 4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1192,12720] |
[a1,a2,a3,a4,a6] |
Generators |
[660:16920:1] |
Generators of the group modulo torsion |
j |
389017/89 |
j-invariant |
L |
11.007183453125 |
L(r)(E,1)/r! |
Ω |
1.0751613904746 |
Real period |
R |
5.1188517136223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4361b1 1424f1 |
Quadratic twists by: -4 -7 |