Cremona's table of elliptic curves

68400 = 2⁴ · 3² · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	68400ej	Isogeny class
Conductor	68400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	4.1358864384E+22	Discriminant
Eigenvalues	2- 3- 5+  2  6  4 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1493967675,22225926438250]	[a1,a2,a3,a4,a6]
Generators	[2446559:3826305702:1]	Generators of the group modulo torsion
j	7903870428425797297009/886464000000	j-invariant
L	7.9807864701936	L(r)(E,1)/r!
Ω	0.088548448696884	Real period
R	11.266129710094	Regulator
r	1	Rank of the group of rational points
S	1.0000000001278	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8550be2 22800cy2 13680bo2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 68400ej2

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

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Quadratic twists for elliptic curve 68400ej2

-4	-3	5
8550be2	22800cy2	13680bo2

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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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