Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256y |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
32231328869376 = 210 · 33 · 74 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12552,463140] |
[a1,a2,a3,a4,a6] |
Generators |
[96:390:1] |
Generators of the group modulo torsion |
j |
213597982529572/31475907099 |
j-invariant |
L |
9.9498944847987 |
L(r)(E,1)/r! |
Ω |
0.63076060815056 |
Real period |
R |
1.3145365499977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128e3 |
Quadratic twists by: -4 |