Atkin-Lehner |
2+ 3+ 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926c |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
26953560252859968 = 26 · 314 · 75 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86670,5799924] |
[a1,a2,a3,a4,a6] |
Generators |
[68:442:1] |
Generators of the group modulo torsion |
j |
72000901035134331625/26953560252859968 |
j-invariant |
L |
3.1227139605019 |
L(r)(E,1)/r! |
Ω |
0.34277267306768 |
Real period |
R |
4.5550800951472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778bf1 118482z1 |
Quadratic twists by: -3 -7 |