Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bm |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-33861058560000 = -1 · 217 · 310 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8052,-32272] |
[a1,a2,a3,a4,a6] |
Generators |
[29:475:1] |
Generators of the group modulo torsion |
j |
604223422/354375 |
j-invariant |
L |
4.6785816463564 |
L(r)(E,1)/r! |
Ω |
0.38512736167746 |
Real period |
R |
3.0370353497986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160dp4 2520i4 6720k4 100800cv3 |
Quadratic twists by: -4 8 -3 5 |