Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11552g |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3661298642944 = -1 · 212 · 197 |
Discriminant |
Eigenvalues |
2+ 0 -1 -1 3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2888,-109744] |
[a1,a2,a3,a4,a6] |
j |
-13824/19 |
j-invariant |
L |
1.240049295162 |
L(r)(E,1)/r! |
Ω |
0.31001232379049 |
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 |
11552t1 23104k1 103968by1 608d1 |
Quadratic twists by: -4 8 -3 -19 |