Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5952a |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-2134930784256 = -1 · 215 · 37 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -1 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8065,-284831] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1688:1] |
Generators of the group modulo torsion |
j |
-1770682685192/65152917 |
j-invariant |
L |
3.8402338845383 |
L(r)(E,1)/r! |
Ω |
0.25134876655029 |
Real period |
R |
3.8196267453833 |
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 |
5952s1 2976b1 17856n1 |
Quadratic twists by: -4 8 -3 |