Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bj |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1590422400000000 = 213 · 32 · 58 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45536,-3195264] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:686:1] |
Generators of the group modulo torsion |
j |
2549399737314529/388286718750 |
j-invariant |
L |
3.2488654957075 |
L(r)(E,1)/r! |
Ω |
0.33016316648904 |
Real period |
R |
2.4600453847241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bd3 115920ea4 |
Quadratic twists by: -4 -3 |