Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cj |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
8192135168 = 212 · 76 · 17 |
Discriminant |
Eigenvalues |
2- -2 4 7- 2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1241,15847] |
[a1,a2,a3,a4,a6] |
j |
438976/17 |
j-invariant |
L |
2.599546985974 |
L(r)(E,1)/r! |
Ω |
1.2997734919412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312ce1 26656j1 1088h1 |
Quadratic twists by: -4 8 -7 |