Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9078c |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-661835948948255232 = -1 · 29 · 32 · 172 · 896 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-225101,-56779576] |
[a1,a2,a3,a4,a6] |
Generators |
[259132370:-5034832671:343000] |
Generators of the group modulo torsion |
j |
-1261401118404579015625/661835948948255232 |
j-invariant |
L |
3.3057022938645 |
L(r)(E,1)/r! |
Ω |
0.1069544998882 |
Real period |
R |
15.453778463365 |
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 |
72624q4 27234l4 |
Quadratic twists by: -4 -3 |