Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4576d |
Isogeny class |
Conductor |
4576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
736 |
Modular degree for the optimal curve |
Δ |
1308736 = 26 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,120] |
[a1,a2,a3,a4,a6] |
j |
203297472/20449 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
4576a1 9152t2 41184z1 114400z1 |
Quadratic twists by: -4 8 -3 5 |