Atkin-Lehner |
5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19175a |
Isogeny class |
Conductor |
19175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-1498046875 = -1 · 59 · 13 · 59 |
Discriminant |
Eigenvalues |
1 -2 5+ -5 5 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-17227] |
[a1,a2,a3,a4,a6] |
j |
-13841287201/95875 |
j-invariant |
L |
0.80250382923223 |
L(r)(E,1)/r! |
Ω |
0.40125191461612 |
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 |
3835b1 |
Quadratic twists by: 5 |