Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19920n |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-62662901760 = -1 · 224 · 32 · 5 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,904,-5676] |
[a1,a2,a3,a4,a6] |
Generators |
[55:462:1] |
Generators of the group modulo torsion |
j |
19924551431/15298560 |
j-invariant |
L |
4.6187172135841 |
L(r)(E,1)/r! |
Ω |
0.61707225105653 |
Real period |
R |
3.742444426626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490d1 79680bo1 59760bp1 99600cd1 |
Quadratic twists by: -4 8 -3 5 |