Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756y |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
372604006672128 = 28 · 36 · 72 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29055,-1664714] |
[a1,a2,a3,a4,a6] |
Generators |
[-740938:-1511055:10648] |
Generators of the group modulo torsion |
j |
14535127906000/1996549247 |
j-invariant |
L |
6.5859920973568 |
L(r)(E,1)/r! |
Ω |
0.36900575348969 |
Real period |
R |
8.9239693895012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7084j2 |
Quadratic twists by: -3 |