Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840h |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17438976000000 = 214 · 34 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19441,-1017359] |
[a1,a2,a3,a4,a6] |
Generators |
[12411:1382500:1] |
Generators of the group modulo torsion |
j |
49600026959056/1064390625 |
j-invariant |
L |
5.1216110503212 |
L(r)(E,1)/r! |
Ω |
0.40484145944244 |
Real period |
R |
6.3254527554746 |
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 |
27840dl2 3480l2 83520dd2 |
Quadratic twists by: -4 8 -3 |