Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456q |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-247296 = -1 · 29 · 3 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 -1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[14:54:1] |
Generators of the group modulo torsion |
j |
-8/483 |
j-invariant |
L |
5.9627106791456 |
L(r)(E,1)/r! |
Ω |
1.424830082017 |
Real period |
R |
2.0924286883053 |
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 |
15456n1 30912bg1 46368o1 108192be1 |
Quadratic twists by: -4 8 -3 -7 |