Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47652i |
Isogeny class |
Conductor |
47652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1157328 |
Modular degree for the optimal curve |
Δ |
-320483095427773872 = -1 · 24 · 33 · 112 · 1910 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 11+ 5 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173761,38917712] |
[a1,a2,a3,a4,a6] |
j |
-5914624/3267 |
j-invariant |
L |
5.1043170016001 |
L(r)(E,1)/r! |
Ω |
0.28357316673056 |
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 |
47652a1 |
Quadratic twists by: -19 |