Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cs |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.8596010622603E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36537526,-24636634552] |
[a1,a2,a3,a4,a6] |
Generators |
[-67089114:-4800029597:19683] |
Generators of the group modulo torsion |
j |
194878967635813609/103306896000000 |
j-invariant |
L |
5.4551781114313 |
L(r)(E,1)/r! |
Ω |
0.06520243720809 |
Real period |
R |
10.45815610387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999959729 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410bs2 11550cj2 |
Quadratic twists by: 5 -11 |