Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19220d |
Isogeny class |
Conductor |
19220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-35216146062080 = -1 · 28 · 5 · 317 |
Discriminant |
Eigenvalues |
2- 3 5- -2 -2 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7688,-119164] |
[a1,a2,a3,a4,a6] |
j |
221184/155 |
j-invariant |
L |
4.4204176358623 |
L(r)(E,1)/r! |
Ω |
0.36836813632186 |
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 |
76880y1 96100h1 620c1 |
Quadratic twists by: -4 5 -31 |