Atkin-Lehner |
2+ 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
67344g |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8620032 = 211 · 3 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179584,-29351980] |
[a1,a2,a3,a4,a6] |
Generators |
[7426913340:-290975824594:4492125] |
Generators of the group modulo torsion |
j |
312751283150967554/4209 |
j-invariant |
L |
7.9164689916062 |
L(r)(E,1)/r! |
Ω |
0.23191692442987 |
Real period |
R |
17.067467178564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33672f4 |
Quadratic twists by: -4 |