Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160cb |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-42375168000 = -1 · 214 · 32 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,440,-9100] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] |
Generators of the group modulo torsion |
j |
2294744759/10345500 |
j-invariant |
L |
9.0802182123729 |
L(r)(E,1)/r! |
Ω |
0.57693327407671 |
Real period |
R |
1.3115638931413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270f1 |
Quadratic twists by: -4 |