Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8550j |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
121737304687500 = 22 · 38 · 512 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89442,-10259784] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:198:1] |
Generators of the group modulo torsion |
j |
6947097508441/10687500 |
j-invariant |
L |
3.4915854679641 |
L(r)(E,1)/r! |
Ω |
0.27609216234651 |
Real period |
R |
1.5808061329454 |
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 |
68400el2 2850y2 1710p2 |
Quadratic twists by: -4 -3 5 |