Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56316m |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-102088061570946672 = -1 · 24 · 32 · 133 · 199 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,107458,-7209063] |
[a1,a2,a3,a4,a6] |
j |
26578688/19773 |
j-invariant |
L |
6.7704552706567 |
L(r)(E,1)/r! |
Ω |
0.18806820199061 |
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 |
56316b1 |
Quadratic twists by: -19 |