Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730j |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3578096529046E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111662029,-454129441947] |
[a1,a2,a3,a4,a6] |
Generators |
[18901539840540064737772467:19924034275713939496939281144:16993602388922484079] |
Generators of the group modulo torsion |
j |
86912881496074271306241/7664481510400 |
j-invariant |
L |
3.4788109567733 |
L(r)(E,1)/r! |
Ω |
0.046443311477549 |
Real period |
R |
37.452227738487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
125840cc2 78650cc2 1430h2 |
Quadratic twists by: -4 5 -11 |