Atkin-Lehner |
11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87131b |
Isogeny class |
Conductor |
87131 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8743680 |
Modular degree for the optimal curve |
Δ |
5.1295681066813E+21 |
Discriminant |
Eigenvalues |
1 -2 -2 2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116015092,-480969378915] |
[a1,a2,a3,a4,a6] |
j |
347477855987736937/10321451129 |
j-invariant |
L |
0.73602365764645 |
L(r)(E,1)/r! |
Ω |
0.046001469678489 |
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 |
979b1 |
Quadratic twists by: 89 |