Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730r |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.0117990385014E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31104888,66777512717] |
[a1,a2,a3,a4,a6] |
Generators |
[437886:101714495:8] |
Generators of the group modulo torsion |
j |
1411482371105506419/42910156250 |
j-invariant |
L |
5.5827194301878 |
L(r)(E,1)/r! |
Ω |
0.17610823137457 |
Real period |
R |
10.56683416899 |
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 |
125840bc2 78650b2 15730a2 |
Quadratic twists by: -4 5 -11 |