Atkin-Lehner |
2- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632n |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-735720381612032 = -1 · 230 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 1 0 1 0 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33953,2727647] |
[a1,a2,a3,a4,a6] |
j |
-16513192419625/2806550528 |
j-invariant |
L |
0.97550084474588 |
L(r)(E,1)/r! |
Ω |
0.48775042253956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632j2 11408c2 |
Quadratic twists by: -4 8 |