Atkin-Lehner |
3- 5+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205t |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
680808213421875 = 310 · 56 · 72 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36698,2406206] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:2257:1] |
Generators of the group modulo torsion |
j |
7497427556790361/933893296875 |
j-invariant |
L |
4.4370982770124 |
L(r)(E,1)/r! |
Ω |
0.49201980709036 |
Real period |
R |
2.2545323535322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735p2 |
Quadratic twists by: -3 |