Atkin-Lehner |
2+ 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616d |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-145096704 = -1 · 217 · 33 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 0 3 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,-3088] |
[a1,a2,a3,a4,a6] |
j |
-1940598/41 |
j-invariant |
L |
4.2755543750552 |
L(r)(E,1)/r! |
Ω |
0.5344442968819 |
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 |
23616bj1 2952a1 23616b1 |
Quadratic twists by: -4 8 -3 |