Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368t |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-79921588032 = -1 · 26 · 38 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1041,4228] |
[a1,a2,a3,a4,a6] |
j |
2674043072/1712997 |
j-invariant |
L |
2.7014972600422 |
L(r)(E,1)/r! |
Ω |
0.67537431667551 |
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 |
82368br1 41184bh2 27456be1 |
Quadratic twists by: -4 8 -3 |