Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63336j |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3052216375842816 = 211 · 32 · 7 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87472,9625420] |
[a1,a2,a3,a4,a6] |
Generators |
[455467120197:10246061964710:731432701] |
Generators of the group modulo torsion |
j |
36141476786531426/1490340027267 |
j-invariant |
L |
6.6564655395597 |
L(r)(E,1)/r! |
Ω |
0.44581577435388 |
Real period |
R |
14.930978047871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672s3 |
Quadratic twists by: -4 |