Atkin-Lehner |
2+ 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bg |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
3.3568876564845E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-279352979,1794937591406] |
[a1,a2,a3,a4,a6] |
j |
2410924614319269405380825639209/3356887656484454400000000 |
j-invariant |
L |
2.219102545627 |
L(r)(E,1)/r! |
Ω |
0.079253662341708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810ek2 |
Quadratic twists by: -3 |