Atkin-Lehner |
3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025bs |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
-4052370092170921875 = -1 · 37 · 56 · 179 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 5 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,368475,44370531] |
[a1,a2,a3,a4,a6] |
j |
4096/3 |
j-invariant |
L |
5.0382724463296 |
L(r)(E,1)/r! |
Ω |
0.15744601415225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21675r1 2601k1 65025br1 |
Quadratic twists by: -3 5 17 |