Atkin-Lehner |
2+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49856f |
Isogeny class |
Conductor |
49856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-523288576 = -1 · 214 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 5 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224,1696] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:41:1] |
Generators of the group modulo torsion |
j |
-75866112/31939 |
j-invariant |
L |
4.2850267229239 |
L(r)(E,1)/r! |
Ω |
1.5444272302339 |
Real period |
R |
1.3872543293192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49856g1 3116a1 |
Quadratic twists by: -4 8 |