Atkin-Lehner |
2- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19844d |
Isogeny class |
Conductor |
19844 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-1546813685296 = -1 · 24 · 119 · 41 |
Discriminant |
Eigenvalues |
2- -2 -3 1 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,323,59904] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:242:1] [304:5324:1] |
Generators of the group modulo torsion |
j |
131072/54571 |
j-invariant |
L |
4.7133127522576 |
L(r)(E,1)/r! |
Ω |
0.65807503056466 |
Real period |
R |
1.7905681469989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376x1 1804a1 |
Quadratic twists by: -4 -11 |