Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49725f |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
125174141015625 = 38 · 58 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15980,565022] |
[a1,a2,a3,a4,a6] |
j |
39616946929/10989225 |
j-invariant |
L |
2.1893592554603 |
L(r)(E,1)/r! |
Ω |
0.54733981393842 |
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 |
16575h2 9945k2 |
Quadratic twists by: -3 5 |