Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872r |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3186913516326162432 = -1 · 212 · 38 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,286592,-62464064] |
[a1,a2,a3,a4,a6] |
j |
5359375/6561 |
j-invariant |
L |
1.0812191463484 |
L(r)(E,1)/r! |
Ω |
0.13515239329355 |
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 |
867d2 55488di2 41616bz2 13872bf2 |
Quadratic twists by: -4 8 -3 17 |