Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11492d |
Isogeny class |
Conductor |
11492 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
597584 = 24 · 133 · 17 |
Discriminant |
Eigenvalues |
2- -2 -2 0 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] [-5:21:1] |
Generators of the group modulo torsion |
j |
1048576/17 |
j-invariant |
L |
4.2086845121559 |
L(r)(E,1)/r! |
Ω |
2.9039941239465 |
Real period |
R |
0.96618297249068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968x1 103428ba1 11492c1 |
Quadratic twists by: -4 -3 13 |