Atkin-Lehner |
2- 3- 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
59496g |
Isogeny class |
Conductor |
59496 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-189711682416 = -1 · 24 · 314 · 37 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -2 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1200,13941] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:81:1] [54:489:1] |
Generators of the group modulo torsion |
j |
11933985484544/11856980151 |
j-invariant |
L |
11.299156457449 |
L(r)(E,1)/r! |
Ω |
0.66419391327421 |
Real period |
R |
0.6075654925273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118992a1 |
Quadratic twists by: -4 |