Cremona's table of elliptic curves

21360 = 2⁴ · 3 · 5 · 89

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 89+	Signs for the Atkin-Lehner involutions
Class	21360n	Isogeny class
Conductor	21360	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	51328080 = 24 · 34 · 5 · 892	Discriminant
Eigenvalues	2- 3- 5-  0  4 -4  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-105,198]	[a1,a2,a3,a4,a6]
j	8077950976/3208005	j-invariant
L	3.6354736742976	L(r)(E,1)/r!
Ω	1.8177368371488	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5340b1 85440w1 64080w1 106800z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 21360n1

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	4	-4	2	4	-8	10	0	4	6	8	2	-6	12	10	-2	-4	2	4	0	+	-18

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Quadratic twists for elliptic curve 21360n1

-4	8	-3	5
5340b1	85440w1	64080w1	106800z1

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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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