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	2850q	Isogeny class
Conductor	2850	Conductor
∏ cp	224	Product of Tamagawa factors cp
deg	53760	Modular degree for the optimal curve
Δ	-1839684648960000000 = -1 · 228 · 35 · 57 · 192	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,91912,-64331719]	[a1,a2,a3,a4,a6]
j	5495662324535111/117739817533440	j-invariant
L	1.7938778523637	L(r)(E,1)/r!
Ω	0.12813413231169	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	22800dj1 91200ea1 8550h1 570d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2850q1

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

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Quadratic twists for elliptic curve 2850q1

-4	8	-3	5	-19
22800dj1	91200ea1	8550h1	570d1	54150bd1

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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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