Atkin-Lehner |
3- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
80925p |
Isogeny class |
Conductor |
80925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
85120 |
Modular degree for the optimal curve |
Δ |
-170701171875 = -1 · 34 · 59 · 13 · 83 |
Discriminant |
Eigenvalues |
0 3- 5- 5 2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1167,-12256] |
[a1,a2,a3,a4,a6] |
j |
89915392/87399 |
j-invariant |
L |
4.4385370780616 |
L(r)(E,1)/r! |
Ω |
0.55481714075587 |
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 |
80925g1 |
Quadratic twists by: 5 |