Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63336k |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18366694017444864 = 210 · 314 · 73 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73984,-4156196] |
[a1,a2,a3,a4,a6] |
Generators |
[425:6402:1] |
Generators of the group modulo torsion |
j |
43736401708360708/17936224626411 |
j-invariant |
L |
3.8032435081793 |
L(r)(E,1)/r! |
Ω |
0.30008469183306 |
Real period |
R |
6.3369502212141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672t2 |
Quadratic twists by: -4 |