Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ec |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1313832960 = -1 · 215 · 36 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,1744] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:40:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
6.9710396635076 |
L(r)(E,1)/r! |
Ω |
1.2227624437128 |
Real period |
R |
1.425264510566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31680dl1 15840f1 3520q1 |
Quadratic twists by: -4 8 -3 |