Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244h |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
749952 |
Modular degree for the optimal curve |
Δ |
-146430746141799168 = -1 · 28 · 39 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,82320,-16009868] |
[a1,a2,a3,a4,a6] |
j |
57344000/136107 |
j-invariant |
L |
0.67443095142737 |
L(r)(E,1)/r! |
Ω |
0.16860764700845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748i1 125244t1 |
Quadratic twists by: -3 -7 |