Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776j |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
-50978891215943936 = -1 · 28 · 710 · 893 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17428,10832744] |
[a1,a2,a3,a4,a6] |
Generators |
[21562:1121267:8] |
Generators of the group modulo torsion |
j |
19436284208/1692630569 |
j-invariant |
L |
5.9339485333044 |
L(r)(E,1)/r! |
Ω |
0.27237768899067 |
Real period |
R |
5.4464341001011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17444b1 9968h1 |
Quadratic twists by: -4 -7 |