Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654m |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-3752962039304856 = -1 · 23 · 39 · 7 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14184,2871288] |
[a1,a2,a3,a4,a6] |
Generators |
[351:6966:1] |
Generators of the group modulo torsion |
j |
2924207/34776 |
j-invariant |
L |
2.9395298178101 |
L(r)(E,1)/r! |
Ω |
0.32648001907642 |
Real period |
R |
1.1254631392731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218be1 2898j1 |
Quadratic twists by: -3 -23 |