Cremona's table of elliptic curves

22050 = 2 · 3² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	22050bj	Isogeny class
Conductor	22050	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1.755758592E+19	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0  5  6  7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,388008,178756416]	[a1,a2,a3,a4,a6]
Generators	[1590576:62831976:2197]	Generators of the group modulo torsion
j	18519167975/50331648	j-invariant
L	4.325654122701	L(r)(E,1)/r!
Ω	0.15342478894683	Real period
R	7.0484928680596	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	7350cn2 22050fl2 22050v2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 22050bj2

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	5	6	7	-6	0	-8	1	0	-8	-6	-6	-6	1	13	-12	5	-7	18	-6	-7

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Quadratic twists for elliptic curve 22050bj2

-3	5	-7
7350cn2	22050fl2	22050v2

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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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