Atkin-Lehner |
2+ 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
44440d |
Isogeny class |
Conductor |
44440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-10754480 = -1 · 24 · 5 · 113 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11- 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55,-242] |
[a1,a2,a3,a4,a6] |
Generators |
[33:187:1] |
Generators of the group modulo torsion |
j |
-1171019776/672155 |
j-invariant |
L |
8.6495502933173 |
L(r)(E,1)/r! |
Ω |
0.85264600798131 |
Real period |
R |
1.6907271036971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88880d1 |
Quadratic twists by: -4 |