Atkin-Lehner |
2+ 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57096d |
Isogeny class |
Conductor |
57096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
324992259072 = 210 · 38 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,18470] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:216:1] [7:72:1] |
Generators of the group modulo torsion |
j |
1093437796/435357 |
j-invariant |
L |
7.2652379282058 |
L(r)(E,1)/r! |
Ω |
0.8762722520153 |
Real period |
R |
2.0727684550924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192f2 19032l2 |
Quadratic twists by: -4 -3 |