Atkin-Lehner |
2- 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390z |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
1090481356800000000 = 222 · 36 · 58 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7411581,-7766759439] |
[a1,a2,a3,a4,a6] |
Generators |
[-42378:11189:27] |
Generators of the group modulo torsion |
j |
45025266672677964319660369/1090481356800000000 |
j-invariant |
L |
10.634019975345 |
L(r)(E,1)/r! |
Ω |
0.091500290029129 |
Real period |
R |
1.7608852903817 |
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 |
82170bd1 |
Quadratic twists by: -3 |