Atkin-Lehner |
2+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632f |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2784098123776 = -1 · 217 · 23 · 314 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2644,-60880] |
[a1,a2,a3,a4,a6] |
j |
15595458174/21240983 |
j-invariant |
L |
3.4343790279236 |
L(r)(E,1)/r! |
Ω |
0.42929737848274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632r3 5704a4 |
Quadratic twists by: -4 8 |