Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654n |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5511168 |
Modular degree for the optimal curve |
Δ |
1.019399815111E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 0 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12864321,-17078916947] |
[a1,a2,a3,a4,a6] |
Generators |
[-1264482:3353167:729] |
Generators of the group modulo torsion |
j |
4124146838737/178564176 |
j-invariant |
L |
3.6085250104295 |
L(r)(E,1)/r! |
Ω |
0.079930645883157 |
Real period |
R |
11.286425156185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218u1 66654x1 |
Quadratic twists by: -3 -23 |