Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bo |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1086563745792 = 216 · 38 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 0 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86187,-9738790] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:2:1] |
Generators of the group modulo torsion |
j |
23711636464489/363888 |
j-invariant |
L |
2.70390627323 |
L(r)(E,1)/r! |
Ω |
0.27863746707795 |
Real period |
R |
2.4260074404078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2394o2 76608en2 6384s2 |
Quadratic twists by: -4 8 -3 |