Cremona's table of elliptic curves

21780 = 2² · 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	21780n	Isogeny class
Conductor	21780	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	183033142930368720 = 24 · 36 · 5 · 1112	Discriminant
Eigenvalues	2- 3- 5+  4 11-  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-484968,-128352323]	[a1,a2,a3,a4,a6]
j	610462990336/8857805	j-invariant
L	3.2593080306288	L(r)(E,1)/r!
Ω	0.18107266836826	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	87120ew3 2420g3 108900ct3 1980b3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 21780n3

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	-	4	0	4	6	-6	8	2	6	-8	-6	6	12	-2	-10	12	16	-8	0	-6	14

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Quadratic twists for elliptic curve 21780n3

-4	-3	5	-11
87120ew3	2420g3	108900ct3	1980b3

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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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