Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736cf |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9907160481792 = 219 · 36 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8076,234736] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:644:1] |
Generators of the group modulo torsion |
j |
304821217/51842 |
j-invariant |
L |
6.6955661197756 |
L(r)(E,1)/r! |
Ω |
0.69214025357908 |
Real period |
R |
2.418428230907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736es2 2898h2 10304o2 |
Quadratic twists by: -4 8 -3 |