Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15808u |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
424320 |
Modular degree for the optimal curve |
Δ |
-5.5980931584957E+20 |
Discriminant |
Eigenvalues |
2- 0 -2 2 -2 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1448996,-1321576904] |
[a1,a2,a3,a4,a6] |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
0.84606750074258 |
L(r)(E,1)/r! |
Ω |
0.065082115441737 |
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 |
15808g1 3952c1 |
Quadratic twists by: -4 8 |