Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264g |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
165770264576 = 215 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1377,-1375] |
[a1,a2,a3,a4,a6] |
Generators |
[120375:1502200:729] |
Generators of the group modulo torsion |
j |
8818423496/5058907 |
j-invariant |
L |
7.5752772053725 |
L(r)(E,1)/r! |
Ω |
0.85072388309587 |
Real period |
R |
8.9045075093052 |
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 |
19264o2 9632c2 |
Quadratic twists by: -4 8 |