Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67240a |
Isogeny class |
Conductor |
67240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
44109440000 = 210 · 54 · 413 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -2 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1216,-12420] |
[a1,a2,a3,a4,a6] |
Generators |
[18234:870225:8] |
Generators of the group modulo torsion |
j |
2819876/625 |
j-invariant |
L |
9.2960507543459 |
L(r)(E,1)/r! |
Ω |
0.82120672461732 |
Real period |
R |
5.6599942956647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67240b2 |
Quadratic twists by: 41 |