Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13872ba |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36720 |
Modular degree for the optimal curve |
Δ |
-27121744930608 = -1 · 24 · 35 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 4 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6551,-147572] |
[a1,a2,a3,a4,a6] |
Generators |
[9624:185786:27] |
Generators of the group modulo torsion |
j |
278528/243 |
j-invariant |
L |
3.0053922469929 |
L(r)(E,1)/r! |
Ω |
0.36716737857256 |
Real period |
R |
8.1853465813794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3468h1 55488ef1 41616cu1 13872bk1 |
Quadratic twists by: -4 8 -3 17 |