Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063bc |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5.9643566660606E+20 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27783230,56361345338] |
[a1,a2,a3,a4,a6] |
Generators |
[-3204:336982:1] |
Generators of the group modulo torsion |
j |
27653883672870015625/6954210586323 |
j-invariant |
L |
3.8493991726636 |
L(r)(E,1)/r! |
Ω |
0.15903857564144 |
Real period |
R |
1.0085077256145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21021i2 9009k2 |
Quadratic twists by: -3 -7 |