Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5952y |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-109707264 = -1 · 217 · 33 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -5 -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,801] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
-1825346/837 |
j-invariant |
L |
3.6936793378925 |
L(r)(E,1)/r! |
Ω |
1.7543231411468 |
Real period |
R |
0.52636815465449 |
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 |
5952n1 1488g1 17856ci1 |
Quadratic twists by: -4 8 -3 |