Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
442b |
Isogeny class |
Conductor |
442 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5020614352 = 24 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1212,16175] |
[a1,a2,a3,a4,a6] |
Generators |
[27:37:1] |
Generators of the group modulo torsion |
j |
196741326427281/5020614352 |
j-invariant |
L |
2.1459321166619 |
L(r)(E,1)/r! |
Ω |
1.3616952016008 |
Real period |
R |
0.26265448564152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3536j2 14144k2 3978b2 11050d2 |
Quadratic twists by: -4 8 -3 5 |