Cremona's table of elliptic curves

2170 = 2 · 5 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 31+	Signs for the Atkin-Lehner involutions
Class	2170i	Isogeny class
Conductor	2170	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	3.671934725674E+20	Discriminant
Eigenvalues	2-  0 5+ 7+  4  4  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1792893,62261957]	[a1,a2,a3,a4,a6]
j	637362635322644797334049/367193472567398848000	j-invariant
L	2.6032257467151	L(r)(E,1)/r!
Ω	0.14462365259528	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17360x2 69440y2 19530w2 10850j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2170i2

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

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Quadratic twists for elliptic curve 2170i2

-4	8	-3	5	-7	-31
17360x2	69440y2	19530w2	10850j2	15190bg2	67270x2

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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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