Atkin-Lehner |
2+ 3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470u |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.775149813161E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,557456,124252526] |
[a1,a2,a3,a4,a6] |
Generators |
[724:29762:1] |
Generators of the group modulo torsion |
j |
19158284342667261649031/17751498131609910000 |
j-invariant |
L |
4.2578524260415 |
L(r)(E,1)/r! |
Ω |
0.14296689137029 |
Real period |
R |
3.7227609004659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121410bo1 |
Quadratic twists by: -3 |