Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370q |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1515364151361638400 = -1 · 212 · 36 · 52 · 176 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63036,58896720] |
[a1,a2,a3,a4,a6] |
j |
37997782187815871/2078688822169600 |
j-invariant |
L |
1.6321008985917 |
L(r)(E,1)/r! |
Ω |
0.20401261230227 |
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 |
4930g2 |
Quadratic twists by: -3 |