Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616dy |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
327196176262889472 = 218 · 39 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181251,-11168766] |
[a1,a2,a3,a4,a6] |
j |
69426531/34496 |
j-invariant |
L |
0.97419702509 |
L(r)(E,1)/r! |
Ω |
0.24354925561619 |
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 |
9702h1 77616di1 11088bd1 |
Quadratic twists by: -4 -3 -7 |