Atkin-Lehner |
2+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216h |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
24 |
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 |
[-147:7076:1] |
Generators of the group modulo torsion |
j |
-266108264948161/2568629578576 |
j-invariant |
L |
2.4021158701631 |
L(r)(E,1)/r! |
Ω |
0.24497483086172 |
Real period |
R |
0.40856508151731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999516514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113216n1 3538d1 |
Quadratic twists by: -4 8 |