Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bn |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
316714724870455296 = 217 · 322 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-197004,-19989520] |
[a1,a2,a3,a4,a6] |
Generators |
[1220:39440:1] |
Generators of the group modulo torsion |
j |
8849350367426/3314597517 |
j-invariant |
L |
6.162421728474 |
L(r)(E,1)/r! |
Ω |
0.23380856788936 |
Real period |
R |
6.5891744088917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352em3 5544e3 14784e4 |
Quadratic twists by: -4 8 -3 |