Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bn |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-36767888407740672 = -1 · 28 · 36 · 74 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30212,-9011492] |
[a1,a2,a3,a4,a6] |
Generators |
[369:7228:1] |
Generators of the group modulo torsion |
j |
11912634028766000/143624564092737 |
j-invariant |
L |
4.4339837688036 |
L(r)(E,1)/r! |
Ω |
0.17966701714455 |
Real period |
R |
4.1131494617342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564o2 |
Quadratic twists by: -4 |