Cremona's table of elliptic curves

20160 = 2⁶ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	20160dq	Isogeny class
Conductor	20160	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	7407106560000 = 212 · 310 · 54 · 72	Discriminant
Eigenvalues	2- 3- 5+ 7+  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5988,121088]	[a1,a2,a3,a4,a6]
Generators	[-62:504:1]	Generators of the group modulo torsion
j	7952095936/2480625	j-invariant
L	4.5014260730252	L(r)(E,1)/r!
Ω	0.68779984117343	Real period
R	1.6361686218717	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	20160dz2 10080w1 6720bo2 100800mu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160dq2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	+	0	-2	6	4	-8	-2	-8	2	6	0	0	6	-4	6	8	0	-14	8	-4	-2	-14

---

Quadratic twists for elliptic curve 20160dq2

-4	8	-3	5
20160dz2	10080w1	6720bo2	100800mu2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations