Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368di |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
599501979648 = 214 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67068,-6685200] |
[a1,a2,a3,a4,a6] |
j |
103456682352/1859 |
j-invariant |
L |
4.7466931847042 |
L(r)(E,1)/r! |
Ω |
0.29666832801848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368h1 20592a1 82368cy1 |
Quadratic twists by: -4 8 -3 |