Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160cn |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
1646023680 = 210 · 38 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26472,-1657784] |
[a1,a2,a3,a4,a6] |
j |
2748251600896/2205 |
j-invariant |
L |
2.9942832028715 |
L(r)(E,1)/r! |
Ω |
0.37428540035894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160ew1 2520g1 6720w1 100800ea1 |
Quadratic twists by: -4 8 -3 5 |