Atkin-Lehner |
2- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9044d |
Isogeny class |
Conductor |
9044 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-71670733568 = -1 · 28 · 74 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ -2 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-496,-13564] |
[a1,a2,a3,a4,a6] |
j |
-52714340352/279963803 |
j-invariant |
L |
2.7317379927911 |
L(r)(E,1)/r! |
Ω |
0.45528966546518 |
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 |
36176bb1 81396h1 63308s1 |
Quadratic twists by: -4 -3 -7 |