Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314w |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-1.334512109575E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-113241321,463855087053] |
[a1,a2,a3,a4,a6] |
Generators |
[49326:-705:8] |
Generators of the group modulo torsion |
j |
-124352595912593543977/103332962304 |
j-invariant |
L |
2.8736832388322 |
L(r)(E,1)/r! |
Ω |
0.15400679338907 |
Real period |
R |
2.3324322060686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438bd1 2574v1 |
Quadratic twists by: -3 -11 |