Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536q |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-947692066987008 = -1 · 210 · 38 · 7 · 674 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1371,-1481254] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2144:1] |
Generators of the group modulo torsion |
j |
-381775972/1269520623 |
j-invariant |
L |
2.4954454179463 |
L(r)(E,1)/r! |
Ω |
0.22501407966619 |
Real period |
R |
1.3862718175338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768h3 22512c3 |
Quadratic twists by: -4 -3 |