Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3920ba |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1349292851200 = -1 · 216 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1813,-47334] |
[a1,a2,a3,a4,a6] |
j |
1367631/2800 |
j-invariant |
L |
1.7844524413487 |
L(r)(E,1)/r! |
Ω |
0.44611311033717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
490h1 15680cb1 35280el1 19600cc1 |
Quadratic twists by: -4 8 -3 5 |