Atkin-Lehner |
2- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216n |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-673350832246226944 = -1 · 222 · 294 · 613 |
Discriminant |
Eigenvalues |
2- 2 -1 -1 3 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85761,-40617823] |
[a1,a2,a3,a4,a6] |
Generators |
[14583:-226432:27] [6869:568704:1] |
Generators of the group modulo torsion |
j |
-266108264948161/2568629578576 |
j-invariant |
L |
15.06960215232 |
L(r)(E,1)/r! |
Ω |
0.12163057920617 |
Real period |
R |
2.5811769281827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113216h1 28304c1 |
Quadratic twists by: -4 8 |