Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745w |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
80940880791225 = 34 · 52 · 72 · 138 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46225,-3804568] |
[a1,a2,a3,a4,a6] |
j |
2263054145689/16769025 |
j-invariant |
L |
1.3029695429923 |
L(r)(E,1)/r! |
Ω |
0.32574238574807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53235u2 88725f2 124215k2 1365c2 |
Quadratic twists by: -3 5 -7 13 |