Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320n |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1069363200 = 212 · 3 · 52 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321,1455] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:60:1] |
Generators of the group modulo torsion |
j |
895841344/261075 |
j-invariant |
L |
7.1370861805442 |
L(r)(E,1)/r! |
Ω |
1.4432947212678 |
Real period |
R |
1.2362489232752 |
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 |
28320e2 56640ci1 84960bm2 |
Quadratic twists by: -4 8 -3 |