Atkin-Lehner |
2+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20416b |
Isogeny class |
Conductor |
20416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-18339774464 = -1 · 214 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 11+ 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-549,8003] |
[a1,a2,a3,a4,a6] |
j |
-1118952448/1119371 |
j-invariant |
L |
2.2317954197351 |
L(r)(E,1)/r! |
Ω |
1.1158977098676 |
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 |
20416h1 2552a1 |
Quadratic twists by: -4 8 |