Atkin-Lehner |
2- 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742n |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
86861920962215412 = 22 · 36 · 139 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7915879,-8575576183] |
[a1,a2,a3,a4,a6] |
j |
11364780258971694073/17995723668 |
j-invariant |
L |
0.36002677640159 |
L(r)(E,1)/r! |
Ω |
0.090006693748862 |
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 |
4134a2 |
Quadratic twists by: 13 |