Atkin-Lehner |
2- 3+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25662s |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24651354653775486 = 2 · 38 · 72 · 138 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-72762,53481] |
[a1,a2,a3,a4,a6] |
Generators |
[115263563550:3617021212493:106496424] |
Generators of the group modulo torsion |
j |
42602782900740304033/24651354653775486 |
j-invariant |
L |
8.5129184121852 |
L(r)(E,1)/r! |
Ω |
0.3197678236838 |
Real period |
R |
13.311092895643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76986q3 |
Quadratic twists by: -3 |