Atkin-Lehner |
2+ 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8990c |
Isogeny class |
Conductor |
8990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5225510851208000 = 26 · 53 · 294 · 314 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59504,-4357440] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:672:1] |
Generators of the group modulo torsion |
j |
23300556873971888601/5225510851208000 |
j-invariant |
L |
2.8651377380339 |
L(r)(E,1)/r! |
Ω |
0.31058163259611 |
Real period |
R |
0.76875595048465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71920s3 80910r3 44950o3 |
Quadratic twists by: -4 -3 5 |