Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050bb |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-7320500000000 = -1 · 28 · 59 · 114 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15188,725781] |
[a1,a2,a3,a4,a6] |
Generators |
[325:-5663:1] |
Generators of the group modulo torsion |
j |
-1693700041/32000 |
j-invariant |
L |
5.083216201065 |
L(r)(E,1)/r! |
Ω |
0.74457576616814 |
Real period |
R |
0.071114547594794 |
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 |
48400bw1 54450bt1 1210e1 6050f1 |
Quadratic twists by: -4 -3 5 -11 |