Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9648f |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-496447488 = -1 · 212 · 33 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,386] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:14:1] [1:24:1] |
Generators of the group modulo torsion |
j |
6751269/4489 |
j-invariant |
L |
5.0556532825983 |
L(r)(E,1)/r! |
Ω |
1.0389018471242 |
Real period |
R |
1.2165858826304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
603a2 38592bl2 9648e2 |
Quadratic twists by: -4 8 -3 |