Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050n |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-4871792750 = -1 · 2 · 53 · 117 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3390,74650] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:305:1] |
Generators of the group modulo torsion |
j |
-19465109/22 |
j-invariant |
L |
1.8904706585757 |
L(r)(E,1)/r! |
Ω |
1.3634895631329 |
Real period |
R |
0.17331180135988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48400cx1 54450hh1 6050bj1 550k1 |
Quadratic twists by: -4 -3 5 -11 |