Atkin-Lehner |
5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123725a |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-9097576578125 = -1 · 56 · 78 · 101 |
Discriminant |
Eigenvalues |
1 -1 5+ 7+ 4 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35550,-2598875] |
[a1,a2,a3,a4,a6] |
Generators |
[6218372978:23681201793:27543608] |
Generators of the group modulo torsion |
j |
-55164193/101 |
j-invariant |
L |
7.6347110997558 |
L(r)(E,1)/r! |
Ω |
0.17382426966589 |
Real period |
R |
14.640669923257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997763731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949a1 123725n1 |
Quadratic twists by: 5 -7 |