Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19536z |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
511805554128 = 24 · 310 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9813,-375858] |
[a1,a2,a3,a4,a6] |
Generators |
[-438:135:8] |
Generators of the group modulo torsion |
j |
6532108386304000/31987847133 |
j-invariant |
L |
6.1083836968674 |
L(r)(E,1)/r! |
Ω |
0.47981455632834 |
Real period |
R |
2.546143553297 |
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 |
4884c1 78144ck1 58608bi1 |
Quadratic twists by: -4 8 -3 |