Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2200d |
Isogeny class |
Conductor |
2200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
242000000000 = 210 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,-32912] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:88:1] |
Generators of the group modulo torsion |
j |
595508/121 |
j-invariant |
L |
2.0438708631092 |
L(r)(E,1)/r! |
Ω |
0.70636844258699 |
Real period |
R |
1.4467455932939 |
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 |
4400f2 17600y2 19800br2 2200k2 |
Quadratic twists by: -4 8 -3 5 |