Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4422l |
Isogeny class |
Conductor |
4422 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-75713413248 = -1 · 27 · 32 · 114 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,176,-13135] |
[a1,a2,a3,a4,a6] |
Generators |
[29:117:1] |
Generators of the group modulo torsion |
j |
602708730623/75713413248 |
j-invariant |
L |
4.407736342623 |
L(r)(E,1)/r! |
Ω |
0.51546256875845 |
Real period |
R |
0.3053939599782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35376y2 13266d2 110550t2 48642g2 |
Quadratic twists by: -4 -3 5 -11 |