Atkin-Lehner |
2- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32984f |
Isogeny class |
Conductor |
32984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
261761024 = 211 · 7 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5664,-162196] |
[a1,a2,a3,a4,a6] |
j |
9813866997314/127813 |
j-invariant |
L |
1.1006334030179 |
L(r)(E,1)/r! |
Ω |
0.5503167015126 |
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 |
65968c2 |
Quadratic twists by: -4 |