Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6080t |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-249036800 = -1 · 219 · 52 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 1 0 3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,-703] |
[a1,a2,a3,a4,a6] |
Generators |
[29:160:1] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
3.580152940484 |
L(r)(E,1)/r! |
Ω |
0.90276637508794 |
Real period |
R |
0.49571974534043 |
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 |
6080i1 1520h1 54720dk1 30400bd1 |
Quadratic twists by: -4 8 -3 5 |