Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176s |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-3.9566634724871E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1628484,-525443308] |
[a1,a2,a3,a4,a6] |
j |
530208386048/439239619 |
j-invariant |
L |
2.9868597135068 |
L(r)(E,1)/r! |
Ω |
0.09333936597951 |
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 |
9464f1 6552z1 |
Quadratic twists by: -3 13 |