Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3740a |
Isogeny class |
Conductor |
3740 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-64678662400 = -1 · 28 · 52 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11+ 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,164,-12264] |
[a1,a2,a3,a4,a6] |
j |
1893932336/252651025 |
j-invariant |
L |
3.1316888903861 |
L(r)(E,1)/r! |
Ω |
0.52194814839768 |
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 |
14960i2 59840q2 33660o2 18700d2 |
Quadratic twists by: -4 8 -3 5 |