Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496s |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
1942943768526848 = 214 · 179 |
Discriminant |
Eigenvalues |
2- -2 0 -2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32753,830479] |
[a1,a2,a3,a4,a6] |
j |
2000 |
j-invariant |
L |
0.82748988372887 |
L(r)(E,1)/r! |
Ω |
0.41374494186443 |
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 |
18496e1 4624b1 18496m1 |
Quadratic twists by: -4 8 17 |