Atkin-Lehner |
5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39715c |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-46080942171875 = -1 · 56 · 137 · 47 |
Discriminant |
Eigenvalues |
0 1 5+ -2 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7549,209746] |
[a1,a2,a3,a4,a6] |
j |
9855401984/9546875 |
j-invariant |
L |
1.6771727154276 |
L(r)(E,1)/r! |
Ω |
0.41929317885026 |
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 |
3055b1 |
Quadratic twists by: 13 |