Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244bd |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
2881112976 = 24 · 36 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -6 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441,2457] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:71:1] |
Generators of the group modulo torsion |
j |
16595712/5041 |
j-invariant |
L |
6.7889469392254 |
L(r)(E,1)/r! |
Ω |
1.3254847548212 |
Real period |
R |
0.85364329379966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998634616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916g1 125244m1 |
Quadratic twists by: -3 -7 |