Atkin-Lehner |
3- 5- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465r |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
145604745 = 32 · 5 · 114 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-248,1361] |
[a1,a2,a3,a4,a6] |
j |
1677100110841/145604745 |
j-invariant |
L |
3.5763661560753 |
L(r)(E,1)/r! |
Ω |
1.7881830780281 |
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 |
109395g1 |
Quadratic twists by: -3 |