Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782be |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-164404481099768 = -1 · 23 · 76 · 133 · 433 |
Discriminant |
Eigenvalues |
2- -1 0 7- 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9897,-482651] |
[a1,a2,a3,a4,a6] |
j |
911262377375/1397415032 |
j-invariant |
L |
2.7312968146924 |
L(r)(E,1)/r! |
Ω |
0.30347742382474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1118a2 |
Quadratic twists by: -7 |