Atkin-Lehner |
2+ 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502x |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
6562372228776 = 23 · 37 · 7 · 133 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131328,18350712] |
[a1,a2,a3,a4,a6] |
Generators |
[-2034:48519:8] |
Generators of the group modulo torsion |
j |
343613355239411713/9001882344 |
j-invariant |
L |
6.3282328743553 |
L(r)(E,1)/r! |
Ω |
0.69681065586503 |
Real period |
R |
2.2704277055335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15834u2 |
Quadratic twists by: -3 |