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	22800dj	Isogeny class
Conductor	22800	Conductor
∏ cp	320	Product of Tamagawa factors cp
Δ	2.1130269793091E+25	Discriminant
Eigenvalues	2- 3- 5+  4  0 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-93505408,-268740500812]	[a1,a2,a3,a4,a6]
j	1412712966892699019449/330160465517040000	j-invariant
L	3.9495410576127	L(r)(E,1)/r!
Ω	0.049369263220158	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	2850q4 91200fk3 68400fq3 4560q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800dj3

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

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Quadratic twists for elliptic curve 22800dj3

-4	8	-3	5
2850q4	91200fk3	68400fq3	4560q3

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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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