Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240bo |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5676635520000 = -1 · 210 · 36 · 54 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1668,-117592] |
[a1,a2,a3,a4,a6] |
j |
-687518464/7604375 |
j-invariant |
L |
0.64638085768421 |
L(r)(E,1)/r! |
Ω |
0.32319043089557 |
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 |
66240fd1 4140f1 7360m1 |
Quadratic twists by: -4 8 -3 |