Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6118i |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
90275612817152 = 28 · 76 · 194 · 23 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28823,1824745] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1373:1] |
Generators of the group modulo torsion |
j |
2648147669062512625/90275612817152 |
j-invariant |
L |
4.2232398312739 |
L(r)(E,1)/r! |
Ω |
0.59960395380509 |
Real period |
R |
0.88042277833418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48944y2 55062f2 42826v2 116242f2 |
Quadratic twists by: -4 -3 -7 -19 |