Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fo |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
6.8282112313614E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2033771088,32986751803281] |
[a1,a2,a3,a4,a6] |
Generators |
[68371:14579105:1] |
Generators of the group modulo torsion |
j |
33608860073906150870929/2466782226562500000 |
j-invariant |
L |
8.199172159968 |
L(r)(E,1)/r! |
Ω |
0.034013239043609 |
Real period |
R |
6.026456490746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999411429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bc3 11550k4 |
Quadratic twists by: 5 -11 |