Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344cw |
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 |
[129927:28163960:343] |
Generators of the group modulo torsion |
j |
800775157152056609375/469960256734490368 |
j-invariant |
L |
2.7839419483777 |
L(r)(E,1)/r! |
Ω |
0.063426425954768 |
Real period |
R |
3.6577051011595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344bs3 28336bd3 |
Quadratic twists by: -4 8 |