Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gl |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-4760790924460032 = -1 · 216 · 36 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102459,13052522] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:3872:1] |
Generators of the group modulo torsion |
j |
-338608873/13552 |
j-invariant |
L |
8.6412070718104 |
L(r)(E,1)/r! |
Ω |
0.43027832122471 |
Real period |
R |
2.5103539513407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bw1 8624u1 11088cb1 |
Quadratic twists by: -4 -3 -7 |