Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200by |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
128791347200000000 = 226 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 6 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4085633,-3177200863] |
[a1,a2,a3,a4,a6] |
j |
1841373668746009/31443200 |
j-invariant |
L |
5.3095187272866 |
L(r)(E,1)/r! |
Ω |
0.10619037454574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27200o1 6800m1 5440y1 |
Quadratic twists by: -4 8 5 |