Cremona's table of elliptic curves

1050 = 2 · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	1050p	Isogeny class
Conductor	1050	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-140683593750 = -1 · 2 · 3 · 510 · 74	Discriminant
Eigenvalues	2- 3- 5+ 7- -4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,162,18042]	[a1,a2,a3,a4,a6]
j	30080231/9003750	j-invariant
L	3.2061655212774	L(r)(E,1)/r!
Ω	0.80154138031936	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	8400bk4 33600y3 3150o4 210d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1050p4

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

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Quadratic twists for elliptic curve 1050p4

-4	8	-3	5	-7	-11
8400bk4	33600y3	3150o4	210d4	7350bu4	127050cv3

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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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