Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fh |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3798632120191E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-360882563,2698436881031] |
[a1,a2,a3,a4,a6] |
Generators |
[5626369324295980:2469288975061741769:28877930432] |
Generators of the group modulo torsion |
j |
-187778242790732059201/4984939585440150 |
j-invariant |
L |
8.7621759553344 |
L(r)(E,1)/r! |
Ω |
0.058102931725503 |
Real period |
R |
18.850546019085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bj7 1050c8 |
Quadratic twists by: 5 -11 |