Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244y |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-100255792546224 = -1 · 24 · 37 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8232,386561] |
[a1,a2,a3,a4,a6] |
Generators |
[196:3087:1] |
Generators of the group modulo torsion |
j |
131072/213 |
j-invariant |
L |
5.3362568852058 |
L(r)(E,1)/r! |
Ω |
0.40829238707428 |
Real period |
R |
1.0891412342758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748c1 125244u1 |
Quadratic twists by: -3 -7 |