Atkin-Lehner |
2- 3- 7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574y |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-252824160123557568 = -1 · 26 · 36 · 7 · 139 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -3 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149126,32848085] |
[a1,a2,a3,a4,a6] |
j |
-503099123175337753/346809547494592 |
j-invariant |
L |
3.4453932884955 |
L(r)(E,1)/r! |
Ω |
0.28711606745222 |
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 |
13286a1 |
Quadratic twists by: -3 |