Atkin-Lehner |
2- 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954bs |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3564288 |
Modular degree for the optimal curve |
Δ |
-4628638377369100584 = -1 · 23 · 313 · 79 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,371076,-55922427] |
[a1,a2,a3,a4,a6] |
j |
140032834038089/114701973912 |
j-invariant |
L |
6.4983059899433 |
L(r)(E,1)/r! |
Ω |
0.13538136943073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954cg1 |
Quadratic twists by: -7 |