Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112t |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
6716736 = 26 · 33 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15549,-746280] |
[a1,a2,a3,a4,a6] |
j |
240595424905536/3887 |
j-invariant |
L |
3.4202978678698 |
L(r)(E,1)/r! |
Ω |
0.42753723007488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112r1 86112b1 |
Quadratic twists by: -4 -3 |