Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bc |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13176000000 = 29 · 33 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1827,29546] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:210:1] |
Generators of the group modulo torsion |
j |
48787170264/953125 |
j-invariant |
L |
8.7271915906776 |
L(r)(E,1)/r! |
Ω |
1.2599965111962 |
Real period |
R |
2.308787234806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840d2 87840a2 |
Quadratic twists by: -4 -3 |