Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890i |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5634321611990760000 = -1 · 26 · 310 · 54 · 134 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19890,114193300] |
[a1,a2,a3,a4,a6] |
Generators |
[260:11570:1] |
Generators of the group modulo torsion |
j |
1193680917131039/7728836230440000 |
j-invariant |
L |
3.1386713580093 |
L(r)(E,1)/r! |
Ω |
0.18932223064688 |
Real period |
R |
1.0361538589806 |
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 |
6630t4 99450ct3 |
Quadratic twists by: -3 5 |