Atkin-Lehner |
3+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
26145d |
Isogeny class |
Conductor |
26145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2801776635 = -1 · 39 · 5 · 73 · 83 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 0 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-297,-3220] |
[a1,a2,a3,a4,a6] |
j |
-147197952/142345 |
j-invariant |
L |
1.1064634862614 |
L(r)(E,1)/r! |
Ω |
0.55323174313072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26145a1 |
Quadratic twists by: -3 |