Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12040a |
Isogeny class |
Conductor |
12040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2319385600 = 210 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523,-3978] |
[a1,a2,a3,a4,a6] |
Generators |
[631:15840:1] |
Generators of the group modulo torsion |
j |
15450012036/2265025 |
j-invariant |
L |
4.6605866099095 |
L(r)(E,1)/r! |
Ω |
1.0081108100634 |
Real period |
R |
4.6230896081914 |
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 |
24080a2 96320x2 108360bz2 60200i2 |
Quadratic twists by: -4 8 -3 5 |