Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150x |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
-6785872837632000 = -1 · 213 · 35 · 53 · 73 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 0 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-687505,-219735275] |
[a1,a2,a3,a4,a6] |
j |
-287502926095618348877/54286982701056 |
j-invariant |
L |
1.4921692876364 |
L(r)(E,1)/r! |
Ω |
0.082898293756229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150dc1 |
Quadratic twists by: 5 |