Atkin-Lehner |
2- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670w |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7552 |
Modular degree for the optimal curve |
Δ |
-1423450 = -1 · 2 · 52 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 3 -4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8,-59] |
[a1,a2,a3,a4,a6] |
j |
185193/4150 |
j-invariant |
L |
5.2317063362868 |
L(r)(E,1)/r! |
Ω |
1.3079265840949 |
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 |
40670p1 |
Quadratic twists by: -7 |