Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gn |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
104335515389952 = 212 · 39 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46011,3766826] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:2646:1] |
Generators of the group modulo torsion |
j |
30664297/297 |
j-invariant |
L |
5.6804491131724 |
L(r)(E,1)/r! |
Ω |
0.59892810073754 |
Real period |
R |
1.1855448726165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4851j1 25872bk1 1584q1 |
Quadratic twists by: -4 -3 -7 |