Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bo |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
159335092224 = 212 · 38 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5556,-158240] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:32:1] |
Generators of the group modulo torsion |
j |
6352182208/53361 |
j-invariant |
L |
5.0504731125768 |
L(r)(E,1)/r! |
Ω |
0.55325973468788 |
Real period |
R |
2.2821438087429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44352cb2 22176b1 14784w2 |
Quadratic twists by: -4 8 -3 |