Atkin-Lehner |
3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
12699a |
Isogeny class |
Conductor |
12699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-1028619 = -1 · 36 · 17 · 83 |
Discriminant |
Eigenvalues |
0 3- 3 4 4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,24,18] |
[a1,a2,a3,a4,a6] |
j |
2097152/1411 |
j-invariant |
L |
3.4845132726803 |
L(r)(E,1)/r! |
Ω |
1.7422566363401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1411a1 |
Quadratic twists by: -3 |