Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450z |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-206114077440000000 = -1 · 214 · 313 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -1 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-109917,-25931259] |
[a1,a2,a3,a4,a6] |
Generators |
[15114:1850043:1] |
Generators of the group modulo torsion |
j |
-12893563987849/18095063040 |
j-invariant |
L |
4.4936908958748 |
L(r)(E,1)/r! |
Ω |
0.12472882330025 |
Real period |
R |
4.5034607648971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bj1 9090bb1 |
Quadratic twists by: -3 5 |