Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200bf |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
365987431250000 = 24 · 58 · 74 · 293 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 -6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201200,-34724625] |
[a1,a2,a3,a4,a6] |
Generators |
[4210:18125:8] |
Generators of the group modulo torsion |
j |
3603027962363904/1463949725 |
j-invariant |
L |
4.5895040614812 |
L(r)(E,1)/r! |
Ω |
0.22542555668011 |
Real period |
R |
3.3932148367106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20300j1 16240p1 |
Quadratic twists by: -4 5 |