Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616r |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
6520969711872 = 28 · 39 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6615,-166698] |
[a1,a2,a3,a4,a6] |
Generators |
[-1194:5356:27] |
Generators of the group modulo torsion |
j |
54000/11 |
j-invariant |
L |
6.8929050325536 |
L(r)(E,1)/r! |
Ω |
0.53694937808761 |
Real period |
R |
6.4185799564898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808c1 77616e1 1584b1 |
Quadratic twists by: -4 -3 -7 |