Cremona's table of elliptic curves

21660 = 2² · 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	21660g	Isogeny class
Conductor	21660	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-2166000 = -1 · 24 · 3 · 53 · 192	Discriminant
Eigenvalues	2- 3+ 5+  2 -6  4  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1146,15321]	[a1,a2,a3,a4,a6]
Generators	[20:1:1]	Generators of the group modulo torsion
j	-28842260224/375	j-invariant
L	4.1790996021372	L(r)(E,1)/r!
Ω	2.371178241773	Real period
R	0.58748565425044	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86640do2 64980bm2 108300cf2 21660s2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660g2

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
-	+	+	2	-6	4	3	-	0	6	-5	-8	0	8	3	9	-6	-10	-14	0	2	-8	9	-6	-14

---

Quadratic twists for elliptic curve 21660g2

-4	-3	5	-19
86640do2	64980bm2	108300cf2	21660s2

---

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