Atkin-Lehner |
3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54873q |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-249627940896947067 = -1 · 38 · 76 · 136 · 67 |
Discriminant |
Eigenvalues |
0 3- 0 7- 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-518430,145672740] |
[a1,a2,a3,a4,a6] |
Generators |
[398:-1544:1] |
Generators of the group modulo torsion |
j |
-21138129711271936000/342425158980723 |
j-invariant |
L |
4.3746211811178 |
L(r)(E,1)/r! |
Ω |
0.3123887359236 |
Real period |
R |
1.7504717192647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997916 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18291g2 |
Quadratic twists by: -3 |