Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gx |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
67655231078400 = 218 · 36 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13665,475137] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:945:1] |
Generators of the group modulo torsion |
j |
1076575468249/258084225 |
j-invariant |
L |
4.0654197305788 |
L(r)(E,1)/r! |
Ω |
0.58071232942158 |
Real period |
R |
1.7501865912273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003253 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240er2 28560dg2 |
Quadratic twists by: -4 8 |