Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152z |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
10614607872 = 212 · 3 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-704,4980] |
[a1,a2,a3,a4,a6] |
j |
9434056897/2591457 |
j-invariant |
L |
2.3923888662748 |
L(r)(E,1)/r! |
Ω |
1.1961944331389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947c1 124608cl1 93456bq1 |
Quadratic twists by: -4 8 -3 |