Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736s |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-236809891229184 = -1 · 29 · 34 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3472,745720] |
[a1,a2,a3,a4,a6] |
Generators |
[49845:989072:125] |
Generators of the group modulo torsion |
j |
-9043113453704/462519318807 |
j-invariant |
L |
4.3084566346815 |
L(r)(E,1)/r! |
Ω |
0.46141899255818 |
Real period |
R |
9.3374063577113 |
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 |
8736v4 17472dd4 26208q2 61152cc2 |
Quadratic twists by: -4 8 -3 -7 |