Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352g |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-2128896 = -1 · 210 · 33 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11+ 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-72] |
[a1,a2,a3,a4,a6] |
j |
-6912/77 |
j-invariant |
L |
2.2185216382348 |
L(r)(E,1)/r! |
Ω |
1.1092608191219 |
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 |
44352cy1 5544c1 44352k1 |
Quadratic twists by: -4 8 -3 |