Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616x |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-423101988864 = -1 · 219 · 39 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -6 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,-32848] |
[a1,a2,a3,a4,a6] |
Generators |
[88:756:1] |
Generators of the group modulo torsion |
j |
-389017/2214 |
j-invariant |
L |
6.5888215437133 |
L(r)(E,1)/r! |
Ω |
0.39356778776842 |
Real period |
R |
2.0926577798302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23616ch1 738j1 7872e1 |
Quadratic twists by: -4 8 -3 |