Atkin-Lehner |
2- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
112784o |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-684297408368 = -1 · 24 · 76 · 193 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4978,142595] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1715:8] |
Generators of the group modulo torsion |
j |
-852816601696000/42768588023 |
j-invariant |
L |
4.3950589272636 |
L(r)(E,1)/r! |
Ω |
0.89623600049818 |
Real period |
R |
2.4519540027709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28196c2 |
Quadratic twists by: -4 |