Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gh |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
834343255130112 = 214 · 316 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224220,40842128] |
[a1,a2,a3,a4,a6] |
Generators |
[256:468:1] |
Generators of the group modulo torsion |
j |
104375673106000/69854967 |
j-invariant |
L |
6.7439199902909 |
L(r)(E,1)/r! |
Ω |
0.49643674484006 |
Real period |
R |
1.6980813921335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416bv2 13104bz2 17472cj2 |
Quadratic twists by: -4 8 -3 |