Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800c |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
156871292500000000 = 28 · 510 · 137 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140833,7072963] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:4394:1] |
Generators of the group modulo torsion |
j |
25600/13 |
j-invariant |
L |
6.5709146221257 |
L(r)(E,1)/r! |
Ω |
0.28625324657464 |
Real period |
R |
2.869362487917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600f1 33800z1 2600h1 |
Quadratic twists by: -4 5 13 |