Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360d |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-299847680 = -1 · 212 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 11- -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,1201] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:4:1] [-7:44:1] |
Generators of the group modulo torsion |
j |
-7744/5 |
j-invariant |
L |
5.5414060215778 |
L(r)(E,1)/r! |
Ω |
1.5952531194631 |
Real period |
R |
0.28947370765019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19360c1 38720dh1 96800bp1 19360r1 |
Quadratic twists by: -4 8 5 -11 |