Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840r |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-93557618796134400 = -1 · 221 · 3 · 52 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-154401,-27550815] |
[a1,a2,a3,a4,a6] |
Generators |
[473:2240:1] [985:27840:1] |
Generators of the group modulo torsion |
j |
-1552876541267401/356893992600 |
j-invariant |
L |
6.2267750942762 |
L(r)(E,1)/r! |
Ω |
0.11896996334772 |
Real period |
R |
4.3615876639915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840dt4 870c4 83520cl4 |
Quadratic twists by: -4 8 -3 |