Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4950z |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2381643000000 = 26 · 39 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230555,-42552053] |
[a1,a2,a3,a4,a6] |
Generators |
[-277:146:1] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
5.3077815391838 |
L(r)(E,1)/r! |
Ω |
0.21787435345863 |
Real period |
R |
2.0301385695187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600bx4 4950b2 198d4 54450k4 |
Quadratic twists by: -4 -3 5 -11 |