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	2170n	Isogeny class
Conductor	2170	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-911779750000 = -1 · 24 · 56 · 76 · 31	Discriminant
Eigenvalues	2- -2 5+ 7-  6  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-57166,-5265804]	[a1,a2,a3,a4,a6]
j	-20660346545062922209/911779750000	j-invariant
L	1.8525296357428	L(r)(E,1)/r!
Ω	0.15437746964523	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17360s3 69440ca3 19530bh3 10850i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2170n3

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

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Quadratic twists for elliptic curve 2170n3

-4	8	-3	5	-7	-31
17360s3	69440ca3	19530bh3	10850i3	15190be3	67270bg3

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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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