Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fk |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
568048917123072 = 212 · 37 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240051,-45254734] |
[a1,a2,a3,a4,a6] |
j |
4354703137/1617 |
j-invariant |
L |
1.7255332519538 |
L(r)(E,1)/r! |
Ω |
0.21569166001091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4851o1 25872bx1 11088bh1 |
Quadratic twists by: -4 -3 -7 |