Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200ck |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1088000000 = 212 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633,6137] |
[a1,a2,a3,a4,a6] |
Generators |
[8:39:1] |
Generators of the group modulo torsion |
j |
438976/17 |
j-invariant |
L |
8.8867039704398 |
L(r)(E,1)/r! |
Ω |
1.5379127356564 |
Real period |
R |
2.8892094344504 |
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 |
27200cn1 13600f1 1088j1 |
Quadratic twists by: -4 8 5 |