Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384k |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40755456 = 28 · 32 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[523:11970:1] |
Generators of the group modulo torsion |
j |
340062928/159201 |
j-invariant |
L |
5.2783626677281 |
L(r)(E,1)/r! |
Ω |
1.6116292941137 |
Real period |
R |
3.275171707915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3192a2 25536co2 19152v2 44688n2 |
Quadratic twists by: -4 8 -3 -7 |