Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6560b |
Isogeny class |
Conductor |
6560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-67240000000000 = -1 · 212 · 510 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4799,-374799] |
[a1,a2,a3,a4,a6] |
Generators |
[213:3204:1] |
Generators of the group modulo torsion |
j |
2983496371136/16416015625 |
j-invariant |
L |
5.4068321263024 |
L(r)(E,1)/r! |
Ω |
0.3102138498863 |
Real period |
R |
4.3573426269364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6560i2 13120r1 59040ca2 32800l2 |
Quadratic twists by: -4 8 -3 5 |