Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4440a |
Isogeny class |
Conductor |
4440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2838758400 = 210 · 34 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-576,4860] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:80:1] |
Generators of the group modulo torsion |
j |
20674973956/2772225 |
j-invariant |
L |
2.4720973582255 |
L(r)(E,1)/r! |
Ω |
1.3779626959114 |
Real period |
R |
1.7940234271657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8880f2 35520bn2 13320o2 22200u2 |
Quadratic twists by: -4 8 -3 5 |