Atkin-Lehner |
3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31407f |
Isogeny class |
Conductor |
31407 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
128548588657329 = 32 · 198 · 292 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13184,203679] |
[a1,a2,a3,a4,a6] |
j |
5386984777/2732409 |
j-invariant |
L |
0.51765244317037 |
L(r)(E,1)/r! |
Ω |
0.51765244317453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94221i2 1653b2 |
Quadratic twists by: -3 -19 |