Atkin-Lehner |
2+ 3+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866a |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
554467095748599264 = 25 · 37 · 77 · 112 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11+ 1 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-359684,-75052176] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:1836:1] |
Generators of the group modulo torsion |
j |
5146227209267628030793/554467095748599264 |
j-invariant |
L |
1.8936392605634 |
L(r)(E,1)/r! |
Ω |
0.19630913061433 |
Real period |
R |
4.8231054119525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59598u1 |
Quadratic twists by: -3 |