Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550w |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
6127239168000000 = 220 · 39 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79205,7728797] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1696:1] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
6.5520527387691 |
L(r)(E,1)/r! |
Ω |
0.4111339538467 |
Real period |
R |
0.39841350230661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400fb1 2850j1 342f1 |
Quadratic twists by: -4 -3 5 |