Atkin-Lehner |
2- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632r |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1137058906112 = 217 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5996,-171184] |
[a1,a2,a3,a4,a6] |
Generators |
[524:11856:1] |
Generators of the group modulo torsion |
j |
181885742946/8675071 |
j-invariant |
L |
3.0742230350274 |
L(r)(E,1)/r! |
Ω |
0.5441470712895 |
Real period |
R |
5.6496179015399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632f4 11408a3 |
Quadratic twists by: -4 8 |