Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cr |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
6.0031770531496E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17437676,-27779724502] |
[a1,a2,a3,a4,a6] |
Generators |
[-2383:16791:1] |
Generators of the group modulo torsion |
j |
21184262604460873/216872764416 |
j-invariant |
L |
7.1980222711627 |
L(r)(E,1)/r! |
Ω |
0.073925780152084 |
Real period |
R |
4.057009517844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031366 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5082u2 11550cl2 |
Quadratic twists by: 5 -11 |