Atkin-Lehner |
2- 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390w |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-49685056819200 = -1 · 212 · 312 · 52 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9074,-65020] |
[a1,a2,a3,a4,a6] |
Generators |
[8:86:1] |
Generators of the group modulo torsion |
j |
82626060291589151/49685056819200 |
j-invariant |
L |
9.2009485810311 |
L(r)(E,1)/r! |
Ω |
0.36914885709466 |
Real period |
R |
0.77889891200041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82170z1 |
Quadratic twists by: -3 |