Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
125244f |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
687468291745536 = 28 · 38 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68943,6852454] |
[a1,a2,a3,a4,a6] |
Generators |
[930:57394:27] |
Generators of the group modulo torsion |
j |
33685456/639 |
j-invariant |
L |
7.7254725266789 |
L(r)(E,1)/r! |
Ω |
0.50975646045181 |
Real period |
R |
7.5776110945638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000137452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748k1 125244o1 |
Quadratic twists by: -3 -7 |