Cremona's table of elliptic curves

2850 = 2 · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	2850z	Isogeny class
Conductor	2850	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	33843750000000 = 27 · 3 · 512 · 192	Discriminant
Eigenvalues	2- 3- 5+  2  4  6 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-49963,-4293583]	[a1,a2,a3,a4,a6]
j	882774443450089/2166000000	j-invariant
L	4.4712551520615	L(r)(E,1)/r!
Ω	0.31937536800439	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	22800bu2 91200f2 8550k2 570b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2850z2

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	4	6	-4	-	-4	6	-6	-10	4	-12	-4	10	10	2	-12	8	2	10	-2	-8	-2

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Quadratic twists for elliptic curve 2850z2

-4	8	-3	5	-19
22800bu2	91200f2	8550k2	570b2	54150g2

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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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