Atkin-Lehner |
3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063n |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-8499336824979 = -1 · 38 · 77 · 112 · 13 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11+ 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-588,-140373] |
[a1,a2,a3,a4,a6] |
Generators |
[63:269:1] [658:4847:8] |
Generators of the group modulo torsion |
j |
-262144/99099 |
j-invariant |
L |
8.1487750999939 |
L(r)(E,1)/r! |
Ω |
0.32940395800836 |
Real period |
R |
1.5461212027617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21021o1 9009h1 |
Quadratic twists by: -3 -7 |