Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270z |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5.355232101316E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3686616,-2229795818] |
[a1,a2,a3,a4,a6] |
Generators |
[596:13089:1] |
Generators of the group modulo torsion |
j |
5541248060256588637176071/5355232101316015380000 |
j-invariant |
L |
3.9487231276625 |
L(r)(E,1)/r! |
Ω |
0.074070523392904 |
Real period |
R |
2.2212632337756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810eb2 |
Quadratic twists by: -3 |