Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352cc |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
70815596544 = 214 · 36 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1116,6480] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:144:1] |
Generators of the group modulo torsion |
j |
12869712/5929 |
j-invariant |
L |
5.1204302604222 |
L(r)(E,1)/r! |
Ω |
0.98026268550164 |
Real period |
R |
1.3058821722355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44352dz2 5544j2 4928m2 |
Quadratic twists by: -4 8 -3 |