Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bj |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
189540000000 = 28 · 36 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1505,8497] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:100:1] |
Generators of the group modulo torsion |
j |
33076161/16640 |
j-invariant |
L |
5.8146413159238 |
L(r)(E,1)/r! |
Ω |
0.89238241512858 |
Real period |
R |
0.40724142036447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800ct1 650a1 1170c1 76050y1 |
Quadratic twists by: -4 -3 5 13 |