Atkin-Lehner |
2- 3- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842t |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-1.611122372157E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,984424,-481179072] |
[a1,a2,a3,a4,a6] |
j |
105504325171806236199551/161112237215699976192 |
j-invariant |
L |
8.0768297776279 |
L(r)(E,1)/r! |
Ω |
0.096152735448386 |
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 |
113526g2 |
Quadratic twists by: -3 |