Atkin-Lehner |
5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425bn |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
257125 = 53 · 112 · 17 |
Discriminant |
Eigenvalues |
-2 -1 5- 0 11- -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] [-2:3:1] |
Generators of the group modulo torsion |
j |
45056/17 |
j-invariant |
L |
4.2547577390058 |
L(r)(E,1)/r! |
Ω |
2.3813238573409 |
Real period |
R |
0.89335974313042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425bh1 51425bi1 |
Quadratic twists by: 5 -11 |