Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13671r |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
167501234313 = 38 · 77 · 31 |
Discriminant |
Eigenvalues |
-1 3- 4 7- -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1553,13304] |
[a1,a2,a3,a4,a6] |
j |
4826809/1953 |
j-invariant |
L |
1.849394757745 |
L(r)(E,1)/r! |
Ω |
0.9246973788725 |
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 |
4557o1 1953f1 |
Quadratic twists by: -3 -7 |