Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424n |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
926350175993069568 = 220 · 3 · 138 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1516737,-716976447] |
[a1,a2,a3,a4,a6] |
j |
1472024100054611377/3533745483372 |
j-invariant |
L |
1.0884903845387 |
L(r)(E,1)/r! |
Ω |
0.1360612980484 |
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 |
47424cy6 1482j5 |
Quadratic twists by: -4 8 |