Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616h |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
489701376 = 214 · 36 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,-3440] |
[a1,a2,a3,a4,a6] |
j |
810448/41 |
j-invariant |
L |
2.0866346606006 |
L(r)(E,1)/r! |
Ω |
1.0433173303003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23616bp1 2952f1 2624c1 |
Quadratic twists by: -4 8 -3 |