Atkin-Lehner |
2+ 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050f |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5681390625000 = 23 · 34 · 59 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-431825,109042125] |
[a1,a2,a3,a4,a6] |
j |
4559514378682661/2908872 |
j-invariant |
L |
1.2551603065543 |
L(r)(E,1)/r! |
Ω |
0.62758015327717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400dq2 30150cq2 10050bk2 |
Quadratic twists by: -4 -3 5 |