Atkin-Lehner |
3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44649j |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
10849707 = 37 · 112 · 41 |
Discriminant |
Eigenvalues |
1 3- 0 1 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,193] |
[a1,a2,a3,a4,a6] |
Generators |
[8:5:1] |
Generators of the group modulo torsion |
j |
471625/123 |
j-invariant |
L |
7.2422507768775 |
L(r)(E,1)/r! |
Ω |
2.1294614456697 |
Real period |
R |
0.85024441174977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14883f1 44649p1 |
Quadratic twists by: -3 -11 |