Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50540n |
Isogeny class |
Conductor |
50540 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
5.7721932458289E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3944045,-2993889857] |
[a1,a2,a3,a4,a6] |
Generators |
[-1134:4655:1] [2786:87465:1] |
Generators of the group modulo torsion |
j |
203373815914110976/1730160900125 |
j-invariant |
L |
7.3852148445396 |
L(r)(E,1)/r! |
Ω |
0.10718572847663 |
Real period |
R |
0.63797316958879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50540r2 |
Quadratic twists by: -19 |