Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760bc |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-24202800 = -1 · 24 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 -2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,27] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
3538944/2075 |
j-invariant |
L |
3.6362713696816 |
L(r)(E,1)/r! |
Ω |
1.2910202000421 |
Real period |
R |
1.4082937546211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14940a1 6640h1 |
Quadratic twists by: -4 -3 |