Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5952d |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2571264 = -1 · 210 · 34 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 -2 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
-87808/2511 |
j-invariant |
L |
3.5254963304255 |
L(r)(E,1)/r! |
Ω |
2.1457001229151 |
Real period |
R |
0.82152587231899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5952bg1 372d1 17856x1 |
Quadratic twists by: -4 8 -3 |