Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440t |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22215600000000 = 210 · 33 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1185040,496927612] |
[a1,a2,a3,a4,a6] |
Generators |
[6254:487500:1] |
Generators of the group modulo torsion |
j |
179731066536892146244/21694921875 |
j-invariant |
L |
4.6593470920698 |
L(r)(E,1)/r! |
Ω |
0.5259419398783 |
Real period |
R |
4.4295260928877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44880s4 67320i4 112200y4 |
Quadratic twists by: -4 -3 5 |