Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966m |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2540251327041419472 = 24 · 314 · 137 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1628262,-795621852] |
[a1,a2,a3,a4,a6] |
Generators |
[20628:2946510:1] |
Generators of the group modulo torsion |
j |
135677890491625/721919952 |
j-invariant |
L |
5.9344277847426 |
L(r)(E,1)/r! |
Ω |
0.13369266738844 |
Real period |
R |
2.7742863071641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322s2 5382o2 |
Quadratic twists by: -3 13 |