Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416co |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
392564796309504 = 214 · 310 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23196,969680] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1456:1] |
Generators of the group modulo torsion |
j |
115562131792/32867289 |
j-invariant |
L |
4.5177007672182 |
L(r)(E,1)/r! |
Ω |
0.49688505264123 |
Real period |
R |
1.1365055014285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999963 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416et2 6552l2 17472h2 |
Quadratic twists by: -4 8 -3 |