Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150ci |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-167253660000000 = -1 · 28 · 34 · 57 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2537,-619219] |
[a1,a2,a3,a4,a6] |
Generators |
[89:522:1] |
Generators of the group modulo torsion |
j |
115572468311/10704234240 |
j-invariant |
L |
8.1208629734295 |
L(r)(E,1)/r! |
Ω |
0.27225289920265 |
Real period |
R |
1.8642737591618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030h1 |
Quadratic twists by: 5 |