Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518be |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-405108 = -1 · 22 · 33 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:8] [1:-7:1] |
Generators of the group modulo torsion |
j |
37125/124 |
j-invariant |
L |
14.358400043156 |
L(r)(E,1)/r! |
Ω |
2.1196875887482 |
Real period |
R |
1.6934571065277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518d1 67518c1 |
Quadratic twists by: -3 -11 |