Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110bp |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
1.0193134424112E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1640343500,-25105687175448] |
[a1,a2,a3,a4,a6] |
Generators |
[69022:13767628:1] |
Generators of the group modulo torsion |
j |
488121703486772881794230641464001/10193134424111701474411057320 |
j-invariant |
L |
7.8100271779673 |
L(r)(E,1)/r! |
Ω |
0.023752938213305 |
Real period |
R |
3.9143163337722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880ce3 39330h3 65550d3 |
Quadratic twists by: -4 -3 5 |