Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4576d |
Isogeny class |
Conductor |
4576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
585728 = 212 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-764,8128] |
[a1,a2,a3,a4,a6] |
j |
12040481088/143 |
j-invariant |
L |
1.3187068957869 |
L(r)(E,1)/r! |
Ω |
2.6374137915739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4576a2 9152t1 41184z4 114400z4 |
Quadratic twists by: -4 8 -3 5 |