Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050p |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-15589736800000000 = -1 · 211 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-621700,188514000] |
[a1,a2,a3,a4,a6] |
Generators |
[369:2901:1] |
Generators of the group modulo torsion |
j |
-38401771585/22528 |
j-invariant |
L |
4.0997959280972 |
L(r)(E,1)/r! |
Ω |
0.3882751131867 |
Real period |
R |
2.6397493612511 |
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 |
48400df1 54450gq1 6050bf1 550m1 |
Quadratic twists by: -4 -3 5 -11 |