Atkin-Lehner |
2+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8056a |
Isogeny class |
Conductor |
8056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29680 |
Modular degree for the optimal curve |
Δ |
-357112186510448 = -1 · 24 · 19 · 537 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 -5 -6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17348,-1270759] |
[a1,a2,a3,a4,a6] |
j |
-36089179133728000/22319511656903 |
j-invariant |
L |
0.40462385106406 |
L(r)(E,1)/r! |
Ω |
0.20231192553203 |
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 |
16112a1 64448e1 72504ba1 |
Quadratic twists by: -4 8 -3 |