Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13600h |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-43520000 = -1 · 212 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 0 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,337] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:5:1] [-3:20:1] |
Generators of the group modulo torsion |
j |
-1600/17 |
j-invariant |
L |
5.2595545202935 |
L(r)(E,1)/r! |
Ω |
1.72716885868 |
Real period |
R |
0.25376569744283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13600v1 27200bd1 122400ei1 13600t1 |
Quadratic twists by: -4 8 -3 5 |