Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024r |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-11367641088 = -1 · 212 · 310 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,5111] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:72:1] |
Generators of the group modulo torsion |
j |
-10648000/2775303 |
j-invariant |
L |
5.3401798663163 |
L(r)(E,1)/r! |
Ω |
1.0384918910783 |
Real period |
R |
0.51422451269901 |
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 |
9024a2 4512c1 27072i2 |
Quadratic twists by: -4 8 -3 |