Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8514c |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-422751159072 = -1 · 25 · 310 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,738,30132] |
[a1,a2,a3,a4,a6] |
Generators |
[9:189:1] |
Generators of the group modulo torsion |
j |
60930425375/579905568 |
j-invariant |
L |
2.690144330615 |
L(r)(E,1)/r! |
Ω |
0.69232721574565 |
Real period |
R |
0.97141361390714 |
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 |
68112br2 2838d2 93654bn2 |
Quadratic twists by: -4 -3 -11 |