Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150bc |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-840351641308593750 = -1 · 2 · 35 · 511 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27751,44138648] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-6634:1] |
Generators of the group modulo torsion |
j |
-151257563987041/53782505043750 |
j-invariant |
L |
5.6547855817814 |
L(r)(E,1)/r! |
Ω |
0.22888645974006 |
Real period |
R |
0.1764688292616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030q1 |
Quadratic twists by: 5 |