Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gb |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-139793288198256 = -1 · 24 · 39 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 7 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13377,823543] |
[a1,a2,a3,a4,a6] |
Generators |
[-686:9261:8] |
Generators of the group modulo torsion |
j |
-562432/297 |
j-invariant |
L |
7.6351893050094 |
L(r)(E,1)/r! |
Ω |
0.54117140799814 |
Real period |
R |
1.7635792446425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404m1 25872cm1 77616gf1 |
Quadratic twists by: -4 -3 -7 |