Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824r |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
694877294592 = 212 · 310 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4755,-119662] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:52:1] |
Generators of the group modulo torsion |
j |
3981876625/232713 |
j-invariant |
L |
5.6096557866298 |
L(r)(E,1)/r! |
Ω |
0.57702483874126 |
Real period |
R |
2.4304221456338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1989a1 127296cn1 10608o1 |
Quadratic twists by: -4 8 -3 |