Atkin-Lehner |
2+ 3- 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042w |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
336828943938816 = 28 · 36 · 76 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-357831,-82294083] |
[a1,a2,a3,a4,a6] |
j |
6950735348004218737/462042447104 |
j-invariant |
L |
2.3424103673564 |
L(r)(E,1)/r! |
Ω |
0.19520086573893 |
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 |
9338j2 |
Quadratic twists by: -3 |