Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546bc |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
604337016003336 = 23 · 36 · 73 · 113 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21168,-74088] |
[a1,a2,a3,a4,a6] |
Generators |
[-42616:559755:512] |
Generators of the group modulo torsion |
j |
1438954974358273/828994534984 |
j-invariant |
L |
6.8613985994406 |
L(r)(E,1)/r! |
Ω |
0.43105097069679 |
Real period |
R |
5.3059452866825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000838 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9394l2 |
Quadratic twists by: -3 |