Atkin-Lehner |
2+ 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
67344g |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18140857344 = 210 · 32 · 232 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11224,-461404] |
[a1,a2,a3,a4,a6] |
Generators |
[192082:1294020:1331] |
Generators of the group modulo torsion |
j |
152723343168868/17715681 |
j-invariant |
L |
7.9164689916062 |
L(r)(E,1)/r! |
Ω |
0.46383384885973 |
Real period |
R |
8.5337335892818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998558 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33672f2 |
Quadratic twists by: -4 |