Atkin-Lehner |
5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1015b |
Isogeny class |
Conductor |
1015 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-1.8091918385312E+21 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 6 -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7112371,-7584550689] |
[a1,a2,a3,a4,a6] |
Generators |
[10647:1060062:1] |
Generators of the group modulo torsion |
j |
-39789362471294920448180224/1809191838531247296875 |
j-invariant |
L |
2.387451229564 |
L(r)(E,1)/r! |
Ω |
0.046101369718317 |
Real period |
R |
5.1786991235868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16240m2 64960u2 9135k2 5075d2 |
Quadratic twists by: -4 8 -3 5 |