Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240s |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-2193401363688512000 = -1 · 29 · 53 · 1711 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 4 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1573027,-762703946] |
[a1,a2,a3,a4,a6] |
j |
-34831225434312/177482125 |
j-invariant |
L |
1.6172025082921 |
L(r)(E,1)/r! |
Ω |
0.067383437820043 |
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 |
46240bh1 92480be1 2720a1 |
Quadratic twists by: -4 8 17 |