Atkin-Lehner |
2- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8288h |
Isogeny class |
Conductor |
8288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-51982336 = -1 · 212 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 5 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,83,-219] |
[a1,a2,a3,a4,a6] |
j |
15252992/12691 |
j-invariant |
L |
2.2098343435447 |
L(r)(E,1)/r! |
Ω |
1.1049171717723 |
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 |
8288j1 16576m1 74592g1 58016s1 |
Quadratic twists by: -4 8 -3 -7 |