Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200cm |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
17408000000 = 216 · 56 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,6463] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:100:1] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
3.4568722233085 |
L(r)(E,1)/r! |
Ω |
1.1485285062641 |
Real period |
R |
1.5049135500141 |
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 |
27200y1 6800e1 1088g1 |
Quadratic twists by: -4 8 5 |