Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780s |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
20587656727170000 = 24 · 38 · 54 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68592,391349] |
[a1,a2,a3,a4,a6] |
j |
3059825077387264/1765059733125 |
j-invariant |
L |
2.61230514685 |
L(r)(E,1)/r! |
Ω |
0.32653814334669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260d1 |
Quadratic twists by: -3 |