Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320x |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
3624960 = 212 · 3 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 3 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,-181] |
[a1,a2,a3,a4,a6] |
j |
6229504/885 |
j-invariant |
L |
3.4442447466747 |
L(r)(E,1)/r! |
Ω |
1.7221223733372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28320c1 56640l1 84960o1 |
Quadratic twists by: -4 8 -3 |