Atkin-Lehner |
2+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960f |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1967025848320 = -1 · 215 · 5 · 13 · 314 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1492,-63728] |
[a1,a2,a3,a4,a6] |
j |
11209345272/60028865 |
j-invariant |
L |
1.6668686845305 |
L(r)(E,1)/r! |
Ω |
0.4167170012759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128960j3 64480e2 |
Quadratic twists by: -4 8 |