Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16530bb |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
428495295524430 = 2 · 3 · 5 · 198 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-137275,-19562605] |
[a1,a2,a3,a4,a6] |
Generators |
[30004:265243:64] |
Generators of the group modulo torsion |
j |
286087094464977687601/428495295524430 |
j-invariant |
L |
9.2262154581499 |
L(r)(E,1)/r! |
Ω |
0.24805086211781 |
Real period |
R |
9.2987133559812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590m6 82650b6 |
Quadratic twists by: -3 5 |