Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gj |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2715939072 = -1 · 28 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,3962] |
[a1,a2,a3,a4,a6] |
Generators |
[46:288:1] |
Generators of the group modulo torsion |
j |
-768208/297 |
j-invariant |
L |
7.642929502683 |
L(r)(E,1)/r! |
Ω |
1.3500633645038 |
Real period |
R |
2.8305817720466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404s1 25872bn1 77616er1 |
Quadratic twists by: -4 -3 -7 |