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	22050dy	Isogeny class
Conductor	22050	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	483840	Modular degree for the optimal curve
Δ	446680404481537800 = 23 · 318 · 52 · 78	Discriminant
Eigenvalues	2- 3- 5+ 7+ -6  4 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-783005,264932637]	[a1,a2,a3,a4,a6]
Generators	[473:240:1]	Generators of the group modulo torsion
j	505318200625/4251528	j-invariant
L	7.588465609696	L(r)(E,1)/r!
Ω	0.29848223628091	Real period
R	4.2372513823315	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	7350c1 22050ce1 22050ew1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 22050dy1

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
-	-	+	+	-6	4	-3	-4	3	6	5	-8	3	-8	9	12	-6	2	-8	9	-14	-7	-6	-3	-17

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Quadratic twists for elliptic curve 22050dy1

-3	5	-7
7350c1	22050ce1	22050ew1

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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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