Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107632i |
Isogeny class |
Conductor |
107632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-79800241378557952 = -1 · 218 · 73 · 316 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68872,-11652908] |
[a1,a2,a3,a4,a6] |
Generators |
[24683865:-2112445214:3375] |
Generators of the group modulo torsion |
j |
9938375/21952 |
j-invariant |
L |
3.8784965007131 |
L(r)(E,1)/r! |
Ω |
0.17792976021886 |
Real period |
R |
10.898953842749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13454d3 112c3 |
Quadratic twists by: -4 -31 |