Atkin-Lehner |
2- 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6042n |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
12253768116 = 22 · 3 · 193 · 533 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-899,-8979] |
[a1,a2,a3,a4,a6] |
j |
80358714342577/12253768116 |
j-invariant |
L |
5.2848528846051 |
L(r)(E,1)/r! |
Ω |
0.88080881410086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336x2 18126h2 114798h2 |
Quadratic twists by: -4 -3 -19 |