Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800s |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
42250000 = 24 · 56 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -1 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,337] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:25:1] [-3:25:1] |
Generators of the group modulo torsion |
j |
3328 |
j-invariant |
L |
7.0132010438888 |
L(r)(E,1)/r! |
Ω |
1.885735512593 |
Real period |
R |
0.46488498765176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600c1 1352b1 33800g1 |
Quadratic twists by: -4 5 13 |