Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680eb |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
423403200 = 26 · 37 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,9776] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:110:1] |
Generators of the group modulo torsion |
j |
1544804416/9075 |
j-invariant |
L |
6.2232254840029 |
L(r)(E,1)/r! |
Ω |
1.6866034688182 |
Real period |
R |
1.8448988155952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680dk1 15840e2 10560bj1 |
Quadratic twists by: -4 8 -3 |