Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bm |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
24556697424 = 24 · 36 · 7 · 673 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5304,-148489] |
[a1,a2,a3,a4,a6] |
Generators |
[-57101:13232:1331] |
Generators of the group modulo torsion |
j |
1414772948992/2105341 |
j-invariant |
L |
4.2904066755807 |
L(r)(E,1)/r! |
Ω |
0.55948376548592 |
Real period |
R |
7.6685096882268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16884m2 7504o2 |
Quadratic twists by: -4 -3 |