Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
118354p |
Isogeny class |
Conductor |
118354 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
82128000 |
Modular degree for the optimal curve |
Δ |
-7.4312980479098E+26 |
Discriminant |
Eigenvalues |
2- 3 0 -1 5 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177973740,-1598503897745] |
[a1,a2,a3,a4,a6] |
Generators |
[3547888689680799563874027644414828009353658585111693698463670530013:391384020969285904634334577314176662600139211815640426353279162251315:154086817802165016436739902137824233296260376594407676170760303] |
Generators of the group modulo torsion |
j |
-1219751537625/1453933568 |
j-invariant |
L |
20.793055889379 |
L(r)(E,1)/r! |
Ω |
0.01976425728351 |
Real period |
R |
105.20534918723 |
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 |
118354f1 |
Quadratic twists by: -59 |