Cremona's table of elliptic curves

22800 = 2⁴ · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	22800cd	Isogeny class
Conductor	22800	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-1.069674768E+19	Discriminant
Eigenvalues	2- 3+ 5+  2  3 -6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7950208,8632198912]	[a1,a2,a3,a4,a6]
Generators	[1698:5054:1]	Generators of the group modulo torsion
j	-1389310279182025/267418692	j-invariant
L	4.604637809905	L(r)(E,1)/r!
Ω	0.22127128547928	Real period
R	2.0809920274703	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	2850w2 91200hq2 68400fh2 22800ds1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800cd2

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	3	-6	-2	-	1	-5	-7	-2	2	6	12	9	10	-13	7	-12	9	-5	1	5	-12

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Quadratic twists for elliptic curve 22800cd2

-4	8	-3	5
2850w2	91200hq2	68400fh2	22800ds1

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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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