Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616fw |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-84128928694272 = -1 · 216 · 39 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8715,541114] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-594:1] |
Generators of the group modulo torsion |
j |
-500313625/574992 |
j-invariant |
L |
7.1490756331318 |
L(r)(E,1)/r! |
Ω |
0.55017709959264 |
Real period |
R |
0.54142230131651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bs1 25872cj1 77616ep1 |
Quadratic twists by: -4 -3 -7 |