Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6042j |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
876138336 = 25 · 33 · 192 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4587,-121479] |
[a1,a2,a3,a4,a6] |
j |
10673721082685233/876138336 |
j-invariant |
L |
2.9006078626883 |
L(r)(E,1)/r! |
Ω |
0.58012157253765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48336bo2 18126g2 114798j2 |
Quadratic twists by: -4 -3 -19 |