Atkin-Lehner |
2- 3+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
67344o |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
17374974534746112 = 221 · 3 · 233 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 -3 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4370928,3518745024] |
[a1,a2,a3,a4,a6] |
Generators |
[1256:-2944:1] [1205:122:1] |
Generators of the group modulo torsion |
j |
2254679527469430336625/4241937142272 |
j-invariant |
L |
7.2468436549608 |
L(r)(E,1)/r! |
Ω |
0.33387455344072 |
Real period |
R |
0.60292469301229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8418g2 |
Quadratic twists by: -4 |