Atkin-Lehner |
2- 3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
66456d |
Isogeny class |
Conductor |
66456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-270919637673984 = -1 · 211 · 37 · 132 · 713 |
Discriminant |
Eigenvalues |
2- 3- -1 1 3 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6837,-761434] |
[a1,a2,a3,a4,a6] |
j |
23673527278/181460877 |
j-invariant |
L |
2.1886538496666 |
L(r)(E,1)/r! |
Ω |
0.27358173104758 |
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 |
22152a1 |
Quadratic twists by: -3 |