Atkin-Lehner |
3- 5+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205s |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1582151219770275 = 36 · 52 · 78 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83813,9162042] |
[a1,a2,a3,a4,a6] |
Generators |
[218:993:1] |
Generators of the group modulo torsion |
j |
89315222428341001/2170303456475 |
j-invariant |
L |
3.0542934096398 |
L(r)(E,1)/r! |
Ω |
0.47436811208899 |
Real period |
R |
0.40241603202035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000247188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245f2 |
Quadratic twists by: -3 |