Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050cq |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
1792 |
Product of Tamagawa factors cp |
Δ |
-3162331032864768000 = -1 · 214 · 38 · 53 · 234 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,307467,54925857] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:5559:1] |
Generators of the group modulo torsion |
j |
25716338994794728987/25298648262918144 |
j-invariant |
L |
9.0126594943165 |
L(r)(E,1)/r! |
Ω |
0.16599090987999 |
Real period |
R |
0.12119665788604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100050q2 |
Quadratic twists by: 5 |