Atkin-Lehner |
5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
11825l |
Isogeny class |
Conductor |
11825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
865649125 = 53 · 115 · 43 |
Discriminant |
Eigenvalues |
-2 -1 5- -2 11- -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-748,-7502] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:5:1] [32:17:1] |
Generators of the group modulo torsion |
j |
370765205504/6925193 |
j-invariant |
L |
2.8358186074389 |
L(r)(E,1)/r! |
Ω |
0.91383618125286 |
Real period |
R |
0.31032023743591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106425z1 11825i1 |
Quadratic twists by: -3 5 |