Cremona's table of elliptic curves

2190 = 2 · 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 73-	Signs for the Atkin-Lehner involutions
Class	2190j	Isogeny class
Conductor	2190	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-232901074001250 = -1 · 2 · 38 · 54 · 734	Discriminant
Eigenvalues	2- 3+ 5+  4 -4 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2326,734549]	[a1,a2,a3,a4,a6]
Generators	[1542:21125:8]	Generators of the group modulo torsion
j	-1391760520292449/232901074001250	j-invariant
L	3.8347791740849	L(r)(E,1)/r!
Ω	0.45583117450078	Real period
R	2.103179525997	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	17520u4 70080bf3 6570n4 10950k4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2190j4

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

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Quadratic twists for elliptic curve 2190j4

-4	8	-3	5	-7
17520u4	70080bf3	6570n4	10950k4	107310do3

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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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