Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bc |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-9303549277288464 = -1 · 24 · 36 · 118 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 11- 1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1026,4641099] |
[a1,a2,a3,a4,a6] |
Generators |
[337:6419:1] |
Generators of the group modulo torsion |
j |
557183/43401744 |
j-invariant |
L |
9.040231788123 |
L(r)(E,1)/r! |
Ω |
0.32447698741599 |
Real period |
R |
1.741308347497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286i1 |
Quadratic twists by: -11 |