Atkin-Lehner |
2- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50512f |
Isogeny class |
Conductor |
50512 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-347794112512 = -1 · 216 · 7 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1848,-41104] |
[a1,a2,a3,a4,a6] |
j |
-170492253625/84910672 |
j-invariant |
L |
2.133933736404 |
L(r)(E,1)/r! |
Ω |
0.3556556226624 |
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 |
6314d1 |
Quadratic twists by: -4 |