Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880q |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-457920 = -1 · 26 · 33 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 6 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,45] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] |
Generators of the group modulo torsion |
j |
-6229504/7155 |
j-invariant |
L |
5.3059965765417 |
L(r)(E,1)/r! |
Ω |
2.6865246451037 |
Real period |
R |
1.9750410948908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50880bo1 25440be1 |
Quadratic twists by: -4 8 |