Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360q |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-3718000 = -1 · 24 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13,91] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
89856/1375 |
j-invariant |
L |
5.9778612206301 |
L(r)(E,1)/r! |
Ω |
1.848665503657 |
Real period |
R |
0.53893481615992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74360e1 |
Quadratic twists by: 13 |