Atkin-Lehner |
2+ 3+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866b |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70848 |
Modular degree for the optimal curve |
Δ |
14665031614464 = 227 · 3 · 7 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- 1 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18662,-971628] |
[a1,a2,a3,a4,a6] |
j |
718843961287607401/14665031614464 |
j-invariant |
L |
0.81794777247868 |
L(r)(E,1)/r! |
Ω |
0.40897388623934 |
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 |
59598q1 |
Quadratic twists by: -3 |