Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240fk |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-10730880000 = -1 · 210 · 36 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-4984] |
[a1,a2,a3,a4,a6] |
j |
-256/14375 |
j-invariant |
L |
2.3406023815334 |
L(r)(E,1)/r! |
Ω |
0.58515059372242 |
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 |
66240cu1 16560j1 7360r1 |
Quadratic twists by: -4 8 -3 |