Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
82008i |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14454402048 = 210 · 36 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12915,564894] |
[a1,a2,a3,a4,a6] |
Generators |
[15:612:1] |
Generators of the group modulo torsion |
j |
319138690500/19363 |
j-invariant |
L |
3.6787517650262 |
L(r)(E,1)/r! |
Ω |
1.1844569728954 |
Real period |
R |
0.7764637828155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9112e2 |
Quadratic twists by: -3 |