Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244be |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
978432 |
Modular degree for the optimal curve |
Δ |
-73086472766197296 = -1 · 24 · 313 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139944,23983589] |
[a1,a2,a3,a4,a6] |
Generators |
[43:4248:1] |
Generators of the group modulo torsion |
j |
-643956736/155277 |
j-invariant |
L |
6.415031255059 |
L(r)(E,1)/r! |
Ω |
0.3292222780668 |
Real period |
R |
4.8713526203653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748f1 125244bb1 |
Quadratic twists by: -3 -7 |