Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536f |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.8437761935865E+28 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 6 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17795294271,913816752266574] |
[a1,a2,a3,a4,a6] |
Generators |
[427526235857244495425859054089895:3067822451324640261229680271188924:5484733376995544043385847483] |
Generators of the group modulo torsion |
j |
-123682420693557166115754136944/17551186687089033351961 |
j-invariant |
L |
6.2997114126987 |
L(r)(E,1)/r! |
Ω |
0.032803647613929 |
Real period |
R |
48.010753917071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768c2 67536c2 |
Quadratic twists by: -4 -3 |