Atkin-Lehner |
3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55233p |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
-15742069287291 = -1 · 39 · 17 · 196 |
Discriminant |
Eigenvalues |
0 3- -3 -4 3 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2166,-186908] |
[a1,a2,a3,a4,a6] |
j |
32768/459 |
j-invariant |
L |
0.68350559584333 |
L(r)(E,1)/r! |
Ω |
0.34175279875378 |
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 |
18411c1 153b1 |
Quadratic twists by: -3 -19 |