Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2124a |
Isogeny class |
Conductor |
2124 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
180 |
Modular degree for the optimal curve |
Δ |
-688176 = -1 · 24 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 2 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[11:34:1] |
Generators of the group modulo torsion |
j |
-16384/59 |
j-invariant |
L |
3.0628608389699 |
L(r)(E,1)/r! |
Ω |
1.1760151320915 |
Real period |
R |
2.6044399900899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8496u1 33984v1 236a1 53100i1 |
Quadratic twists by: -4 8 -3 5 |