Atkin-Lehner |
2+ 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536l |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1108350044928 = -1 · 28 · 39 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,50654] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:108:1] [25:252:1] |
Generators of the group modulo torsion |
j |
-810448/5938947 |
j-invariant |
L |
8.9106095066518 |
L(r)(E,1)/r! |
Ω |
0.69730123959808 |
Real period |
R |
1.5973386035798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999769 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768k2 22512a2 |
Quadratic twists by: -4 -3 |