Atkin-Lehner |
2- 3- 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64824j |
Isogeny class |
Conductor |
64824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1362859776 = -1 · 28 · 33 · 37 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 4 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,236,-1024] |
[a1,a2,a3,a4,a6] |
j |
5654291888/5323671 |
j-invariant |
L |
4.9920721330367 |
L(r)(E,1)/r! |
Ω |
0.8320120226148 |
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 |
129648c1 |
Quadratic twists by: -4 |