Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825by |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
8514058489453125 = 315 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 3 2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-57000,-2779844] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:787:1] |
Generators of the group modulo torsion |
j |
71921827840/29898477 |
j-invariant |
L |
5.3043895145203 |
L(r)(E,1)/r! |
Ω |
0.32055989686849 |
Real period |
R |
1.3789387376928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16275n1 48825y1 |
Quadratic twists by: -3 5 |