Atkin-Lehner |
2- 3+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4944d |
Isogeny class |
Conductor |
4944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-102518784 = -1 · 212 · 35 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 2 -5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-576] |
[a1,a2,a3,a4,a6] |
j |
-24137569/25029 |
j-invariant |
L |
1.4633058100274 |
L(r)(E,1)/r! |
Ω |
0.7316529050137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
309a1 19776bc1 14832h1 123600ci1 |
Quadratic twists by: -4 8 -3 5 |