Atkin-Lehner |
2- 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432j |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1132494454784 = 217 · 7 · 112 · 1012 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18744,-992684] |
[a1,a2,a3,a4,a6] |
Generators |
[198:1760:1] |
Generators of the group modulo torsion |
j |
177817197201337/276487904 |
j-invariant |
L |
3.5478650542875 |
L(r)(E,1)/r! |
Ω |
0.40805867212445 |
Real period |
R |
2.173624337918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15554b2 |
Quadratic twists by: -4 |