Cremona's table of elliptic curves

2150 = 2 · 5² · 43

Field	Data	Notes
Atkin-Lehner	2- 5+ 43-	Signs for the Atkin-Lehner involutions
Class	2150l	Isogeny class
Conductor	2150	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-26875000 = -1 · 23 · 57 · 43	Discriminant
Eigenvalues	2-  0 5+ -1 -4  1  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-505,4497]	[a1,a2,a3,a4,a6]
Generators	[9:20:1]	Generators of the group modulo torsion
j	-909853209/1720	j-invariant
L	4.1425013080726	L(r)(E,1)/r!
Ω	2.1126822384158	Real period
R	0.32679636914849	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	17200i1 68800a1 19350w1 430a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2150l1

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	+	-1	-4	1	0	1	4	-5	-9	-4	-7	-	-6	2	0	-7	-15	-6	5	9	0	0	2

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Quadratic twists for elliptic curve 2150l1

-4	8	-3	5	-7	-43
17200i1	68800a1	19350w1	430a1	105350co1	92450d1

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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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