Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736bi |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-9214212937416704 = -1 · 216 · 78 · 293 |
Discriminant |
Eigenvalues |
2- 1 3 7- 3 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11384,4638164] |
[a1,a2,a3,a4,a6] |
j |
-338608873/19120976 |
j-invariant |
L |
4.0756004048669 |
L(r)(E,1)/r! |
Ω |
0.33963336707224 |
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 |
2842d1 90944dg1 3248k1 |
Quadratic twists by: -4 8 -7 |