Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4440a |
Isogeny class |
Conductor |
4440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
172722677760 = 211 · 32 · 5 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2376,-39060] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:62:1] |
Generators of the group modulo torsion |
j |
724629215378/84337245 |
j-invariant |
L |
2.4720973582255 |
L(r)(E,1)/r! |
Ω |
0.68898134795572 |
Real period |
R |
3.5880468543314 |
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 |
8880f3 35520bn4 13320o3 22200u4 |
Quadratic twists by: -4 8 -3 5 |