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	2850v	Isogeny class
Conductor	2850	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6720	Modular degree for the optimal curve
Δ	-6168023437500 = -1 · 22 · 37 · 59 · 192	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -4  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,4112,64781]	[a1,a2,a3,a4,a6]
Generators	[985:30507:1]	Generators of the group modulo torsion
j	3936827539/3158028	j-invariant
L	4.0514883554178	L(r)(E,1)/r!
Ω	0.48630426057863	Real period
R	4.1655900264961	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22800dp1 91200en1 8550q1 2850n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2850v1

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

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Quadratic twists for elliptic curve 2850v1

-4	8	-3	5	-19
22800dp1	91200en1	8550q1	2850n1	54150bj1

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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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