Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29280x |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-221306204160 = -1 · 212 · 311 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1981,40139] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-108:1] |
Generators of the group modulo torsion |
j |
-210008272384/54029835 |
j-invariant |
L |
5.3354511741653 |
L(r)(E,1)/r! |
Ω |
0.94745917589424 |
Real period |
R |
0.25596934842887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29280d1 58560v1 87840t1 |
Quadratic twists by: -4 8 -3 |