Atkin-Lehner |
3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063m |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5261494224987 = 37 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5742,127413] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:447:1] |
Generators of the group modulo torsion |
j |
244140625/61347 |
j-invariant |
L |
6.5498487991888 |
L(r)(E,1)/r! |
Ω |
0.71669058999103 |
Real period |
R |
1.1423773540608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21021n2 1287c2 |
Quadratic twists by: -3 -7 |