Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18368n |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
5780480720896 = 223 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -2 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11201,437663] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:896:1] |
Generators of the group modulo torsion |
j |
592915705201/22050784 |
j-invariant |
L |
5.2526785035794 |
L(r)(E,1)/r! |
Ω |
0.75294520660134 |
Real period |
R |
0.34880881487307 |
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 |
18368x1 574j1 128576r1 |
Quadratic twists by: -4 8 -7 |