Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23744a |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
110500397056 = 214 · 74 · 532 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3484,77520] |
[a1,a2,a3,a4,a6] |
Generators |
[5232:378420:1] |
Generators of the group modulo torsion |
j |
285455366352/6744409 |
j-invariant |
L |
6.1990601475259 |
L(r)(E,1)/r! |
Ω |
1.0533533606918 |
Real period |
R |
5.8850717896365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23744be2 2968a2 |
Quadratic twists by: -4 8 |