Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240fm |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-184563279278899200 = -1 · 226 · 314 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241932,50250256] |
[a1,a2,a3,a4,a6] |
j |
-8194759433281/965779200 |
j-invariant |
L |
2.4853593451962 |
L(r)(E,1)/r! |
Ω |
0.3106699176073 |
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 |
66240cw1 16560bi1 22080cr1 |
Quadratic twists by: -4 8 -3 |