Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574x |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1904633161187328 = -1 · 224 · 38 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33620,3176759] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:1873:1] |
Generators of the group modulo torsion |
j |
-5764706497797625/2612665516032 |
j-invariant |
L |
4.3193594937223 |
L(r)(E,1)/r! |
Ω |
0.43749823068009 |
Real period |
R |
1.2341077034208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
20592bf3 82368s3 858b3 64350bn3 |
Quadratic twists by: -4 8 -3 5 |