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 |
51724864000000 = 212 · 56 · 292 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19504,994560] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:1227:1] |
Generators of the group modulo torsion |
j |
820554255342128601/51724864000000 |
j-invariant |
L |
2.8651377380339 |
L(r)(E,1)/r! |
Ω |
0.62116326519221 |
Real period |
R |
1.5375119009693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71920s2 80910r2 44950o2 |
Quadratic twists by: -4 -3 5 |