Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8550bm |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-375015825000000 = -1 · 26 · 37 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15305,1186697] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:1396:1] |
Generators of the group modulo torsion |
j |
-1392225385/1316928 |
j-invariant |
L |
6.6658587414277 |
L(r)(E,1)/r! |
Ω |
0.48888923383658 |
Real period |
R |
1.1362251201424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68400fz2 2850o2 8550m2 |
Quadratic twists by: -4 -3 5 |