Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840g |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
446437785600 = 218 · 34 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2081,18081] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:189:1] |
Generators of the group modulo torsion |
j |
3803721481/1703025 |
j-invariant |
L |
5.2686443092885 |
L(r)(E,1)/r! |
Ω |
0.84357818678932 |
Real period |
R |
3.1227954870082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27840dm2 435c2 83520df2 |
Quadratic twists by: -4 8 -3 |