Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908m |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-28442790239472 = -1 · 24 · 38 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1029,-256907] |
[a1,a2,a3,a4,a6] |
j |
-1792/423 |
j-invariant |
L |
3.5604337363084 |
L(r)(E,1)/r! |
Ω |
0.29670281237008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636o1 82908w1 |
Quadratic twists by: -3 -7 |