Cremona's table of elliptic curves

2890 = 2 · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17+	Signs for the Atkin-Lehner involutions
Class	2890p	Isogeny class
Conductor	2890	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	-2312000 = -1 · 26 · 53 · 172	Discriminant
Eigenvalues	2- -1 5-  1  0 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-40,105]	[a1,a2,a3,a4,a6]
Generators	[3:3:1]	Generators of the group modulo torsion
j	-24529249/8000	j-invariant
L	4.2867037118868	L(r)(E,1)/r!
Ω	2.4462888333851	Real period
R	0.097351630341372	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	23120bd1 92480e1 26010i1 14450b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2890p1

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
-	-1	-	1	0	-4	+	-4	-3	-6	-2	4	3	-4	-12	-12	-6	10	-1	0	-2	10	15	-3	-8

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Quadratic twists for elliptic curve 2890p1

-4	8	-3	5	17
23120bd1	92480e1	26010i1	14450b1	2890n1

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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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