Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11544f |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-30028806912 = -1 · 28 · 3 · 134 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2068,36464] |
[a1,a2,a3,a4,a6] |
Generators |
[28:36:1] |
Generators of the group modulo torsion |
j |
-3822481042000/117300027 |
j-invariant |
L |
5.8525711195741 |
L(r)(E,1)/r! |
Ω |
1.1712527741999 |
Real period |
R |
2.4984235890379 |
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 |
23088c2 92352h2 34632m2 |
Quadratic twists by: -4 8 -3 |