Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025z |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-75996826171875 = -1 · 36 · 512 · 7 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -2 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-170758,27105769] |
[a1,a2,a3,a4,a6] |
j |
-35241096113238016/4863796875 |
j-invariant |
L |
7.0851519760889 |
L(r)(E,1)/r! |
Ω |
0.59042933134106 |
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 |
96075br1 6405h1 |
Quadratic twists by: -3 5 |