Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dc |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
9853747200 = 214 · 37 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9948,381872] |
[a1,a2,a3,a4,a6] |
Generators |
[61:45:1] [-92:720:1] |
Generators of the group modulo torsion |
j |
9115564624/825 |
j-invariant |
L |
7.4237344294078 |
L(r)(E,1)/r! |
Ω |
1.233900101059 |
Real period |
R |
0.75205991382907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680p1 7920p1 10560bw1 |
Quadratic twists by: -4 8 -3 |