Atkin-Lehner |
2+ 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256be |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-714883227641856 = -1 · 211 · 38 · 72 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19376,766196] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:450:1] [-10:756:1] |
Generators of the group modulo torsion |
j |
392792984988766/349064075997 |
j-invariant |
L |
11.334394486847 |
L(r)(E,1)/r! |
Ω |
0.33090505276229 |
Real period |
R |
2.1407943139932 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37128y3 |
Quadratic twists by: -4 |