Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ka |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
2916048114000000000 = 210 · 36 · 59 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44258485,113314707275] |
[a1,a2,a3,a4,a6] |
Generators |
[3830:1125:1] |
Generators of the group modulo torsion |
j |
9362964919254624808075264/2847703236328125 |
j-invariant |
L |
9.6825245565772 |
L(r)(E,1)/r! |
Ω |
0.20414211011096 |
Real period |
R |
0.87833916243511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ck3 28560cj3 |
Quadratic twists by: -4 8 |