Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472v |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-437778473472 = -1 · 29 · 38 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-31858] |
[a1,a2,a3,a4,a6] |
j |
-3112136/1172889 |
j-invariant |
L |
3.3740605289845 |
L(r)(E,1)/r! |
Ω |
0.42175756612306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5472f4 10944s4 1824c4 103968x2 |
Quadratic twists by: -4 8 -3 -19 |