Atkin-Lehner |
2- 3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bw |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-178869140625000 = -1 · 23 · 3 · 512 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-638588,-196684219] |
[a1,a2,a3,a4,a6] |
Generators |
[11062992650:895633158109:1643032] |
Generators of the group modulo torsion |
j |
-1843172526426142969/11447625000 |
j-invariant |
L |
8.5184934223484 |
L(r)(E,1)/r! |
Ω |
0.084443107186142 |
Real period |
R |
16.813082216351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18690h2 |
Quadratic twists by: 5 |