Atkin-Lehner |
2- 3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bp |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-4773864000000 = -1 · 29 · 3 · 56 · 193 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-142113,-20679969] |
[a1,a2,a3,a4,a6] |
j |
-20314460803806793/305527296 |
j-invariant |
L |
3.3195136576731 |
L(r)(E,1)/r! |
Ω |
0.12294495131873 |
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 |
3306f2 |
Quadratic twists by: 5 |