Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320y |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1395919987200 = -1 · 29 · 32 · 52 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1240,-53892] |
[a1,a2,a3,a4,a6] |
j |
411498751672/2726406225 |
j-invariant |
L |
3.4087762099733 |
L(r)(E,1)/r! |
Ω |
0.42609702624682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28320j2 56640h3 84960k2 |
Quadratic twists by: -4 8 -3 |