Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bk |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
142312968750 = 2 · 3 · 57 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3713,-86719] |
[a1,a2,a3,a4,a6] |
Generators |
[7604:65305:64] |
Generators of the group modulo torsion |
j |
362314607689/9108030 |
j-invariant |
L |
9.5692861861264 |
L(r)(E,1)/r! |
Ω |
0.61253856666861 |
Real period |
R |
7.8111703517685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530n2 |
Quadratic twists by: 5 |