Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280ev |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-2314137600 = -1 · 212 · 36 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,252,1728] |
[a1,a2,a3,a4,a6] |
j |
592704/775 |
j-invariant |
L |
3.9195540770503 |
L(r)(E,1)/r! |
Ω |
0.97988850212106 |
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 |
89280ek1 44640x1 9920bf1 |
Quadratic twists by: -4 8 -3 |