Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984ba |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
4210704 = 24 · 36 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -4 5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3819,-90839] |
[a1,a2,a3,a4,a6] |
Generators |
[-1062432:4739:29791] |
Generators of the group modulo torsion |
j |
1462911232 |
j-invariant |
L |
4.6468189378859 |
L(r)(E,1)/r! |
Ω |
0.60731241305262 |
Real period |
R |
7.6514473243079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25992n1 5776d1 51984n1 |
Quadratic twists by: -4 -3 -19 |