Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bs |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.2319726154141E+23 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12381567,-1997579647] |
[a1,a2,a3,a4,a6] |
Generators |
[3633638667:-606293218304:132651] |
Generators of the group modulo torsion |
j |
800775157152056609375/469960256734490368 |
j-invariant |
L |
10.827160784956 |
L(r)(E,1)/r! |
Ω |
0.061475737919031 |
Real period |
R |
14.676739550797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344cw3 3542o3 |
Quadratic twists by: -4 8 |