Atkin-Lehner |
3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
897d |
Isogeny class |
Conductor |
897 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
5.5473114131091E+19 |
Discriminant |
Eigenvalues |
1 3- 0 -2 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1725581,-795628249] |
[a1,a2,a3,a4,a6] |
Generators |
[-627:6631:1] |
Generators of the group modulo torsion |
j |
568236858838659098439625/55473114131090524557 |
j-invariant |
L |
3.0756516640154 |
L(r)(E,1)/r! |
Ω |
0.13255106261377 |
Real period |
R |
0.3867253876062 |
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 |
14352t2 57408e2 2691g2 22425d2 |
Quadratic twists by: -4 8 -3 5 |