Atkin-Lehner |
2- 3- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12354h |
Isogeny class |
Conductor |
12354 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-26556108984 = -1 · 23 · 33 · 293 · 712 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 6 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-659,10137] |
[a1,a2,a3,a4,a6] |
j |
-31653456713137/26556108984 |
j-invariant |
L |
6.5301075343749 |
L(r)(E,1)/r! |
Ω |
1.0883512557291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98832k1 37062c1 |
Quadratic twists by: -4 -3 |