Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19264l |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-53014528 = -1 · 212 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,-352] |
[a1,a2,a3,a4,a6] |
Generators |
[58:440:1] |
Generators of the group modulo torsion |
j |
-216000/12943 |
j-invariant |
L |
5.4337516749747 |
L(r)(E,1)/r! |
Ω |
0.87694175697893 |
Real period |
R |
3.098125748792 |
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 |
19264a2 9632d1 |
Quadratic twists by: -4 8 |