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 |
3325050134784 = 28 · 310 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12711,-544570] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:72:1] |
Generators of the group modulo torsion |
j |
1217013440848/17816841 |
j-invariant |
L |
2.4954454179463 |
L(r)(E,1)/r! |
Ω |
0.45002815933237 |
Real period |
R |
2.7725436350677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001723 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33768h2 22512c2 |
Quadratic twists by: -4 -3 |