Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800y |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
125497034000000000 = 210 · 59 · 137 |
Discriminant |
Eigenvalues |
2- 0 5- 4 2 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147875,-13731250] |
[a1,a2,a3,a4,a6] |
Generators |
[-139711:1059968:1331] |
Generators of the group modulo torsion |
j |
37044/13 |
j-invariant |
L |
6.4069985199188 |
L(r)(E,1)/r! |
Ω |
0.25047984272727 |
Real period |
R |
6.3947246714125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67600w1 33800m1 2600d1 |
Quadratic twists by: -4 5 13 |