Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872m |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-37158799573075968 = -1 · 211 · 32 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83136,-915948] |
[a1,a2,a3,a4,a6] |
j |
1285471294/751689 |
j-invariant |
L |
1.7222848260251 |
L(r)(E,1)/r! |
Ω |
0.21528560325314 |
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 |
6936h4 55488co3 41616w3 816b4 |
Quadratic twists by: -4 8 -3 17 |