Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840bl |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
40199536223168400 = 24 · 36 · 52 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85683,-371293] |
[a1,a2,a3,a4,a6] |
Generators |
[641:14425:1] |
Generators of the group modulo torsion |
j |
43264/25 |
j-invariant |
L |
6.7037165632903 |
L(r)(E,1)/r! |
Ω |
0.30498837418978 |
Real period |
R |
5.4950590992887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680x1 6760f1 60840x1 |
Quadratic twists by: -4 -3 13 |