Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112l |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-129792 = -1 · 28 · 3 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -6 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,27] |
[a1,a2,a3,a4,a6] |
j |
-13312/3 |
j-invariant |
L |
3.1445695693411 |
L(r)(E,1)/r! |
Ω |
3.1445695693411 |
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 |
4056l1 32448cj1 24336k1 8112n1 |
Quadratic twists by: -4 8 -3 13 |