Atkin-Lehner |
2+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
84032i |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
17478656 = 210 · 132 · 101 |
Discriminant |
Eigenvalues |
2+ -2 2 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117,-485] |
[a1,a2,a3,a4,a6] |
j |
174456832/17069 |
j-invariant |
L |
1.4597152449278 |
L(r)(E,1)/r! |
Ω |
1.4597152841633 |
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 |
84032s1 5252a1 |
Quadratic twists by: -4 8 |