Atkin-Lehner |
2+ 3- 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390f |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
156612459300 = 22 · 3 · 52 · 11 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17744,908042] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:1299:1] |
Generators of the group modulo torsion |
j |
617793186756795769/156612459300 |
j-invariant |
L |
3.2733796558032 |
L(r)(E,1)/r! |
Ω |
0.9999041962728 |
Real period |
R |
0.81842332195547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82170cc4 |
Quadratic twists by: -3 |