Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872p |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-5824908288 = -1 · 210 · 39 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 0 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,3684] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:24:1] [-8:54:1] |
Generators of the group modulo torsion |
j |
23324/19683 |
j-invariant |
L |
5.8785625734638 |
L(r)(E,1)/r! |
Ω |
1.0526757034688 |
Real period |
R |
0.15512223211795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6936j1 55488cz1 41616bb1 13872g1 |
Quadratic twists by: -4 8 -3 17 |