Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368bk |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
11561303912438016 = 28 · 36 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59572,-2154880] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:1530:1] |
Generators of the group modulo torsion |
j |
51553893328/25492401 |
j-invariant |
L |
7.4087403793005 |
L(r)(E,1)/r! |
Ω |
0.32148711614961 |
Real period |
R |
1.9204347564731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999413 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98736q2 4488e2 |
Quadratic twists by: -4 -11 |