Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5952i |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-208272384 = -1 · 210 · 38 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 6 0 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,681] |
[a1,a2,a3,a4,a6] |
j |
3114752/203391 |
j-invariant |
L |
2.7140135200182 |
L(r)(E,1)/r! |
Ω |
1.3570067600091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5952bc1 744c1 17856bg1 |
Quadratic twists by: -4 8 -3 |