Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6084d |
Isogeny class |
Conductor |
6084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4110343112049408 = 28 · 39 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 -4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4111263,3208564710] |
[a1,a2,a3,a4,a6] |
j |
315978926832/169 |
j-invariant |
L |
2.1615014557547 |
L(r)(E,1)/r! |
Ω |
0.36025024262579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24336bf2 97344w2 6084e2 468b2 |
Quadratic twists by: -4 8 -3 13 |