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	21780x	Isogeny class
Conductor	21780	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-4.9943487863672E+20	Discriminant
Eigenvalues	2- 3- 5- -2 11- -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-17011632,-27027819731]	[a1,a2,a3,a4,a6]
Generators	[10263:937750:1]	Generators of the group modulo torsion
j	-26348629355659264/24169921875	j-invariant
L	5.0423375492344	L(r)(E,1)/r!
Ω	0.037167142692652	Real period
R	2.8263861930702	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	87120fy3 7260n3 108900bw3 1980d3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 21780x3

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

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Quadratic twists for elliptic curve 21780x3

-4	-3	5	-11
87120fy3	7260n3	108900bw3	1980d3

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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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