Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9632f |
Isogeny class |
Conductor |
9632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-8630272 = -1 · 212 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 7- -3 5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104,432] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:28:1] |
Generators of the group modulo torsion |
j |
-30371328/2107 |
j-invariant |
L |
5.0452895958458 |
L(r)(E,1)/r! |
Ω |
2.2811288465158 |
Real period |
R |
0.55293781448952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9632a1 19264m1 86688v1 67424k1 |
Quadratic twists by: -4 8 -3 -7 |