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	2170h	Isogeny class
Conductor	2170	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	127232527708160000 = 215 · 54 · 7 · 316	Discriminant
Eigenvalues	2+ -2 5- 7-  0  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1207823,-510732222]	[a1,a2,a3,a4,a6]
j	194864658842816448209641/127232527708160000	j-invariant
L	0.86410604851039	L(r)(E,1)/r!
Ω	0.14401767475173	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	17360be4 69440u4 19530bv4 10850v4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2170h4

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

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Quadratic twists for elliptic curve 2170h4

-4	8	-3	5	-7	-31
17360be4	69440u4	19530bv4	10850v4	15190d4	67270u4

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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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