Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840cr |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-826736640000000000 = -1 · 225 · 3 · 510 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10239,-43747935] |
[a1,a2,a3,a4,a6] |
Generators |
[51367577147:-12186326558644:912673] |
Generators of the group modulo torsion |
j |
452807907839/3153750000000 |
j-invariant |
L |
5.0620098239502 |
L(r)(E,1)/r! |
Ω |
0.13047608390818 |
Real period |
R |
19.398228672744 |
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 |
27840bv2 6960bk2 83520fz2 |
Quadratic twists by: -4 8 -3 |