Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050dg |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-238839111328125000 = -1 · 23 · 3 · 516 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90126,25708648] |
[a1,a2,a3,a4,a6] |
Generators |
[-392:1112:1] |
Generators of the group modulo torsion |
j |
-3892861862891/11484375000 |
j-invariant |
L |
7.0682559162269 |
L(r)(E,1)/r! |
Ω |
0.27536460491827 |
Real period |
R |
6.4171790455264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bz2 127050hb2 |
Quadratic twists by: 5 -11 |