Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264b |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14256242753536 = 216 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157324,24017520] |
[a1,a2,a3,a4,a6] |
Generators |
[3592:214020:1] |
Generators of the group modulo torsion |
j |
6570958453382628/217533001 |
j-invariant |
L |
4.9099753899633 |
L(r)(E,1)/r! |
Ω |
0.65711969330093 |
Real period |
R |
7.4719650621013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19264r2 2408c2 |
Quadratic twists by: -4 8 |