Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49126i |
Isogeny class |
Conductor |
49126 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-3.1963896686524E+22 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3893964,9095705488] |
[a1,a2,a3,a4,a6] |
Generators |
[4322:-272354:1] |
Generators of the group modulo torsion |
j |
-3685898778231675097/18042786382475008 |
j-invariant |
L |
4.9422010558169 |
L(r)(E,1)/r! |
Ω |
0.10152710828194 |
Real period |
R |
0.2173153352237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466a1 |
Quadratic twists by: -11 |