Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160b |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-4881172302720000 = -1 · 210 · 33 · 54 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64728,-7174648] |
[a1,a2,a3,a4,a6] |
Generators |
[804622:9383700:2197] |
Generators of the group modulo torsion |
j |
-1084767227025408/176547030625 |
j-invariant |
L |
5.0589676823774 |
L(r)(E,1)/r! |
Ω |
0.14833211980529 |
Real period |
R |
8.5264197818687 |
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 |
20160cx1 2520b1 20160o1 100800u1 |
Quadratic twists by: -4 8 -3 5 |