Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840b |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
684195840000 = 222 · 32 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1425441,-654571359] |
[a1,a2,a3,a4,a6] |
Generators |
[-1468771452720:-671947073:2131746903] |
Generators of the group modulo torsion |
j |
1221889220964658441/2610000 |
j-invariant |
L |
4.5935070599039 |
L(r)(E,1)/r! |
Ω |
0.13816951011217 |
Real period |
R |
16.622723262805 |
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 |
27840dg4 870d3 83520cs4 |
Quadratic twists by: -4 8 -3 |