Atkin-Lehner |
2- 3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8322h |
Isogeny class |
Conductor |
8322 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
215235730764 = 22 · 312 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1514,3864] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:172:1] |
Generators of the group modulo torsion |
j |
383812633485217/215235730764 |
j-invariant |
L |
6.3967241264429 |
L(r)(E,1)/r! |
Ω |
0.86226779323392 |
Real period |
R |
0.61820741543762 |
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 |
66576t2 24966c2 |
Quadratic twists by: -4 -3 |