Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536r |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-69271877808 = -1 · 24 · 39 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1326,-22489] |
[a1,a2,a3,a4,a6] |
Generators |
[1394:17955:8] |
Generators of the group modulo torsion |
j |
-22105827328/5938947 |
j-invariant |
L |
5.8816314882521 |
L(r)(E,1)/r! |
Ω |
0.39011147755309 |
Real period |
R |
3.7691992078208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768i1 22512d1 |
Quadratic twists by: -4 -3 |