Atkin-Lehner |
3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
32193i |
Isogeny class |
Conductor |
32193 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
369701468561817 = 316 · 76 · 73 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36392,-2497750] |
[a1,a2,a3,a4,a6] |
j |
62146192681/4310577 |
j-invariant |
L |
0.69433883014988 |
L(r)(E,1)/r! |
Ω |
0.34716941507402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10731f1 657a1 |
Quadratic twists by: -3 -7 |