Atkin-Lehner |
2- 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240r |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
24811312500000000 = 28 · 34 · 512 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80236,-4396240] |
[a1,a2,a3,a4,a6] |
j |
223150039787533264/96919189453125 |
j-invariant |
L |
4.7219761284007 |
L(r)(E,1)/r! |
Ω |
0.29512350802767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480e2 |
Quadratic twists by: -4 |