Atkin-Lehner |
5+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
42925g |
Isogeny class |
Conductor |
42925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
273673703125 = 56 · 17 · 1013 |
Discriminant |
Eigenvalues |
0 -1 5+ -5 3 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2333,-34557] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:50:1] |
Generators of the group modulo torsion |
j |
89915392000/17515117 |
j-invariant |
L |
2.3688083307232 |
L(r)(E,1)/r! |
Ω |
0.69623686879613 |
Real period |
R |
0.56705039067619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1717a1 |
Quadratic twists by: 5 |