Atkin-Lehner |
2+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127088b |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
-16267264 = -1 · 211 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 2 -1 3 3 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,272] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:12:1] |
Generators of the group modulo torsion |
j |
-57122/47 |
j-invariant |
L |
11.273425557306 |
L(r)(E,1)/r! |
Ω |
2.0173821976818 |
Real period |
R |
1.3970364055954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63544b1 127088c1 |
Quadratic twists by: -4 13 |