Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120fk |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-70407940781629440 = -1 · 213 · 36 · 5 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,83853,8696754] |
[a1,a2,a3,a4,a6] |
j |
9261/10 |
j-invariant |
L |
0.91900374429972 |
L(r)(E,1)/r! |
Ω |
0.22975094072841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890u1 9680o1 87120fj1 |
Quadratic twists by: -4 -3 -11 |