Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900d |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-4741962750000 = -1 · 24 · 38 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4233,150462] |
[a1,a2,a3,a4,a6] |
Generators |
[62:350:1] |
Generators of the group modulo torsion |
j |
-33560707072/18967851 |
j-invariant |
L |
5.1979030399183 |
L(r)(E,1)/r! |
Ω |
0.71585258362502 |
Real period |
R |
1.8152840629227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997962492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4956c1 |
Quadratic twists by: 5 |