Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bq |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
97371445248 = 211 · 36 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,-21238] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:20:1] |
Generators of the group modulo torsion |
j |
6902546/1331 |
j-invariant |
L |
7.1672717228487 |
L(r)(E,1)/r! |
Ω |
0.75809007546841 |
Real period |
R |
2.3635950249503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808cl1 8624g1 77616be1 |
Quadratic twists by: -4 -3 -7 |