Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bm |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
998643892224 = 215 · 3 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2689,24769] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1040:1] |
Generators of the group modulo torsion |
j |
65645911304/30476193 |
j-invariant |
L |
3.2668816204562 |
L(r)(E,1)/r! |
Ω |
0.78554205095111 |
Real period |
R |
4.1587609683185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999626 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65472cq4 32736m3 |
Quadratic twists by: -4 8 |