Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67431p |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
10519076867627601 = 36 · 72 · 138 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139682,-19489965] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:325:1] |
Generators of the group modulo torsion |
j |
62443196514217/2179302489 |
j-invariant |
L |
5.4510159982264 |
L(r)(E,1)/r! |
Ω |
0.24748258309972 |
Real period |
R |
3.6709761752096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000359 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5187d2 |
Quadratic twists by: 13 |