Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240eb |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8.2879025552398E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1129105,-146682865] |
[a1,a2,a3,a4,a6] |
Generators |
[-200746:6078087:343] |
Generators of the group modulo torsion |
j |
9716439463670092624/5058534274438365 |
j-invariant |
L |
8.8600724992393 |
L(r)(E,1)/r! |
Ω |
0.15507858848787 |
Real period |
R |
9.5221317742921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hh2 14280b2 |
Quadratic twists by: -4 8 |