Atkin-Lehner |
5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925ba |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
2772000 |
Modular degree for the optimal curve |
Δ |
-9.2903081416451E+18 |
Discriminant |
Eigenvalues |
-1 -2 5- 2 11- 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1920938,1035030217] |
[a1,a2,a3,a4,a6] |
Generators |
[-1563:15604:1] [736:4109:1] |
Generators of the group modulo torsion |
j |
-5851164003025/69343957 |
j-invariant |
L |
6.0372792556824 |
L(r)(E,1)/r! |
Ω |
0.23152636938151 |
Real period |
R |
0.57946644125357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999937034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925h1 111925y1 |
Quadratic twists by: 5 -11 |