Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050in |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-614974852800000000 = -1 · 212 · 33 · 58 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,165487,27439017] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:4147:1] |
Generators of the group modulo torsion |
j |
10604001783815/13011038208 |
j-invariant |
L |
13.896062556994 |
L(r)(E,1)/r! |
Ω |
0.19370624908921 |
Real period |
R |
0.99635850979902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999567807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050t2 127050ei2 |
Quadratic twists by: 5 -11 |