Atkin-Lehner |
2+ 3- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bp |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-3.2157279857127E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,948970777,-24855007825942] |
[a1,a2,a3,a4,a6] |
Generators |
[352916112:-108279033683:4096] |
Generators of the group modulo torsion |
j |
94510971880619057444979349412759/321572798571266028122690027520 |
j-invariant |
L |
6.2050173537764 |
L(r)(E,1)/r! |
Ω |
0.01556222239827 |
Real period |
R |
11.075641302985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dq3 |
Quadratic twists by: -3 |