Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200s |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1088000000 = 212 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,-4000] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:16:1] [-11:13:1] |
Generators of the group modulo torsion |
j |
216000/17 |
j-invariant |
L |
7.50135702726 |
L(r)(E,1)/r! |
Ω |
1.0146551533992 |
Real period |
R |
3.6965056561976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27200r1 13600c1 1088a1 |
Quadratic twists by: -4 8 5 |