Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328j |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-928070608912384 = -1 · 215 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23896,348272] |
[a1,a2,a3,a4,a6] |
j |
63905303/39304 |
j-invariant |
L |
4.906121660299 |
L(r)(E,1)/r! |
Ω |
0.30663260376869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666b2 53312bk2 119952ed2 13328x2 |
Quadratic twists by: -4 8 -3 -7 |