Atkin-Lehner |
2- 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
9292c |
Isogeny class |
Conductor |
9292 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
29400 |
Modular degree for the optimal curve |
Δ |
-61883471749888 = -1 · 28 · 23 · 1015 |
Discriminant |
Eigenvalues |
2- 2 -2 -4 -3 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8549,-482767] |
[a1,a2,a3,a4,a6] |
j |
-269948238364672/241732311523 |
j-invariant |
L |
1.196691169002 |
L(r)(E,1)/r! |
Ω |
0.2393382338004 |
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 |
37168e1 83628a1 |
Quadratic twists by: -4 -3 |