Atkin-Lehner |
2+ 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
82544n |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14062856192 = 211 · 7 · 114 · 67 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20051,-1092814] |
[a1,a2,a3,a4,a6] |
Generators |
[1522:11253:8] |
Generators of the group modulo torsion |
j |
435313234403154/6866629 |
j-invariant |
L |
3.6864399124352 |
L(r)(E,1)/r! |
Ω |
0.40120464868527 |
Real period |
R |
4.5942138516298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41272b4 |
Quadratic twists by: -4 |