Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872v |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-10112688 = -1 · 24 · 37 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 0 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-249,-1440] |
[a1,a2,a3,a4,a6] |
j |
-370720768/2187 |
j-invariant |
L |
0.60051149013529 |
L(r)(E,1)/r! |
Ω |
0.60051149013529 |
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 |
3468g1 55488dq1 41616cg1 13872bq1 |
Quadratic twists by: -4 8 -3 17 |