Atkin-Lehner |
2- 7- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51128f |
Isogeny class |
Conductor |
51128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-5010544 = -1 · 24 · 73 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,-205] |
[a1,a2,a3,a4,a6] |
Generators |
[13:35:1] |
Generators of the group modulo torsion |
j |
-1419579648/313159 |
j-invariant |
L |
6.2499940714278 |
L(r)(E,1)/r! |
Ω |
0.85128597663348 |
Real period |
R |
1.2236377752743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102256d1 |
Quadratic twists by: -4 |