Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352cb |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
51103109578752 = 215 · 310 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9516,-96784] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:504:1] |
Generators of the group modulo torsion |
j |
3989418056/2139291 |
j-invariant |
L |
4.8735674578305 |
L(r)(E,1)/r! |
Ω |
0.5142771011751 |
Real period |
R |
0.59228374239927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352bo3 22176x3 14784t4 |
Quadratic twists by: -4 8 -3 |