Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cp |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
193890034884375000 = 23 · 35 · 58 · 192 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-217588,32804792] |
[a1,a2,a3,a4,a6] |
Generators |
[38:4940:1] |
Generators of the group modulo torsion |
j |
72913615170367609/12408962232600 |
j-invariant |
L |
12.423934845061 |
L(r)(E,1)/r! |
Ω |
0.30377267148758 |
Real period |
R |
0.34082325409683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530e2 |
Quadratic twists by: 5 |