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	2170m	Isogeny class
Conductor	2170	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	470890 = 2 · 5 · 72 · 312	Discriminant
Eigenvalues	2-  0 5+ 7-  2 -2  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2613,-50749]	[a1,a2,a3,a4,a6]
j	1972359673792929/470890	j-invariant
L	2.6710848578184	L(r)(E,1)/r!
Ω	0.6677712144546	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	17360p2 69440bw2 19530be2 10850e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2170m2

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	+	-	2	-2	0	8	6	-4	-	-2	6	4	4	6	0	4	12	16	-16	8	4	-14	-18

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Quadratic twists for elliptic curve 2170m2

-4	8	-3	5	-7	-31
17360p2	69440bw2	19530be2	10850e2	15190bb2	67270bd2

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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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