Atkin-Lehner |
2+ 3+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866c |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
4146473159136 = 25 · 35 · 7 · 116 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28248,-1836576] |
[a1,a2,a3,a4,a6] |
j |
2492934385738430089/4146473159136 |
j-invariant |
L |
0.7365869317936 |
L(r)(E,1)/r! |
Ω |
0.3682934658968 |
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 |
59598bc1 |
Quadratic twists by: -3 |