Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368cy |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
822362112 = 214 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7452,247600] |
[a1,a2,a3,a4,a6] |
Generators |
[53:39:1] |
Generators of the group modulo torsion |
j |
103456682352/1859 |
j-invariant |
L |
5.0533140265878 |
L(r)(E,1)/r! |
Ω |
1.4585307703182 |
Real period |
R |
0.86616513851458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368p1 20592b1 82368di1 |
Quadratic twists by: -4 8 -3 |