Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084g |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7636354429392 = 24 · 32 · 133 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-211933,-37482326] |
[a1,a2,a3,a4,a6] |
Generators |
[550:3468:1] |
Generators of the group modulo torsion |
j |
2725888000000/19773 |
j-invariant |
L |
4.4340434930591 |
L(r)(E,1)/r! |
Ω |
0.2225102012246 |
Real period |
R |
3.3212286213173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
156b3 |
Quadratic twists by: 17 |