Atkin-Lehner |
5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525d |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11692800 |
Modular degree for the optimal curve |
Δ |
-8.636090456311E+20 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ -3 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393140838,3000306743917] |
[a1,a2,a3,a4,a6] |
Generators |
[11587:20119:1] |
Generators of the group modulo torsion |
j |
-430078926809705366520107929/55270978920390625 |
j-invariant |
L |
1.3311606441496 |
L(r)(E,1)/r! |
Ω |
0.12289685669868 |
Real period |
R |
5.4157635922084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11305d1 |
Quadratic twists by: 5 |