Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
47200h |
Isogeny class |
Conductor |
47200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6816 |
Modular degree for the optimal curve |
Δ |
-755200 = -1 · 29 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -3 -5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,90] |
[a1,a2,a3,a4,a6] |
j |
-370440/59 |
j-invariant |
L |
2.7416032223963 |
L(r)(E,1)/r! |
Ω |
2.7416032224892 |
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 |
47200b1 94400bp1 47200y1 |
Quadratic twists by: -4 8 5 |