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	21660n	Isogeny class
Conductor	21660	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	288012153600 = 28 · 38 · 52 · 193	Discriminant
Eigenvalues	2- 3+ 5- -4  0  4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2020,24232]	[a1,a2,a3,a4,a6]
Generators	[-6:190:1]	Generators of the group modulo torsion
j	519388144/164025	j-invariant
L	3.9464413402536	L(r)(E,1)/r!
Ω	0.90081115807927	Real period
R	0.73016438293021	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	86640dy2 64980q2 108300bt2 21660bc2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660n2

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
-	+	-	-4	0	4	-2	+	-4	0	0	4	0	-8	4	4	8	-2	4	-16	6	-8	0	0	12

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Quadratic twists for elliptic curve 21660n2

-4	-3	5	-19
86640dy2	64980q2	108300bt2	21660bc2

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

Part of Computational Number Theory
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