Atkin-Lehner |
3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44505b |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8818922432454118515 = -1 · 38 · 5 · 23 · 438 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-591345,226088716] |
[a1,a2,a3,a4,a6] |
j |
-31370351442672802321/12097287287317035 |
j-invariant |
L |
0.87061239602453 |
L(r)(E,1)/r! |
Ω |
0.21765309899438 |
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 |
14835a6 |
Quadratic twists by: -3 |