Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286l |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
-7767079694154 = -1 · 2 · 33 · 119 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11+ -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4353,76228] |
[a1,a2,a3,a4,a6] |
j |
3869893/3294 |
j-invariant |
L |
2.8812492537835 |
L(r)(E,1)/r! |
Ω |
0.48020820899356 |
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 |
44286be1 |
Quadratic twists by: -11 |