Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5952x |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-285696 = -1 · 210 · 32 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 0 6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
340736/279 |
j-invariant |
L |
3.6170516449156 |
L(r)(E,1)/r! |
Ω |
1.9912008694296 |
Real period |
R |
0.90825885535892 |
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 |
5952l1 1488e1 17856cb1 |
Quadratic twists by: -4 8 -3 |