Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82418i |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
470827921907589512 = 23 · 76 · 298 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -6 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6099790,5795928972] |
[a1,a2,a3,a4,a6] |
Generators |
[23620353292599876:-9887809104194129:16628237077824] |
Generators of the group modulo torsion |
j |
426477625/8 |
j-invariant |
L |
6.9641882707529 |
L(r)(E,1)/r! |
Ω |
0.2720237455357 |
Real period |
R |
25.601398352333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682d2 82418q2 |
Quadratic twists by: -7 29 |