Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240a |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
701784000000000000 = 215 · 35 · 512 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3763681,-2808851519] |
[a1,a2,a3,a4,a6] |
Generators |
[5044912304544:-3269806496078125:12008989] |
Generators of the group modulo torsion |
j |
179933617934808776648/21416748046875 |
j-invariant |
L |
4.1167551211453 |
L(r)(E,1)/r! |
Ω |
0.10839255292734 |
Real period |
R |
18.990027497115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240bf4 9120r2 54720bn4 91200cm4 |
Quadratic twists by: -4 8 -3 5 |