Atkin-Lehner |
2- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6118k |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2349948272 = 24 · 72 · 194 · 23 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1910,-32204] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:20:1] |
Generators of the group modulo torsion |
j |
770616005574241/2349948272 |
j-invariant |
L |
3.0332942336018 |
L(r)(E,1)/r! |
Ω |
0.7223033743999 |
Real period |
R |
1.0498684974724 |
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 |
48944r2 55062r2 42826q2 116242k2 |
Quadratic twists by: -4 -3 -7 -19 |