Atkin-Lehner |
2+ 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5874d |
Isogeny class |
Conductor |
5874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62546352 = 24 · 3 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22786,1314436] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:1454:1] |
Generators of the group modulo torsion |
j |
1308451928740468777/62546352 |
j-invariant |
L |
2.1619714134218 |
L(r)(E,1)/r! |
Ω |
1.4696670466241 |
Real period |
R |
2.9421240931922 |
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 |
46992n4 17622j3 64614p4 |
Quadratic twists by: -4 -3 -11 |