Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100s |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
300960 |
Modular degree for the optimal curve |
Δ |
5835700000000 = 28 · 58 · 13 · 672 |
Discriminant |
Eigenvalues |
2- 1 5- 2 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-174333,27958463] |
[a1,a2,a3,a4,a6] |
j |
5859560120320/58357 |
j-invariant |
L |
4.1108134840655 |
L(r)(E,1)/r! |
Ω |
0.68513558852307 |
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 |
87100m1 |
Quadratic twists by: 5 |