Cremona's table of elliptic curves

17220 = 2² · 3 · 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+ 41+	Signs for the Atkin-Lehner involutions
Class	17220h	Isogeny class
Conductor	17220	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-225926400 = -1 · 28 · 3 · 52 · 7 · 412	Discriminant
Eigenvalues	2- 3- 5+ 7+  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,44,-700]	[a1,a2,a3,a4,a6]
Generators	[16:66:1]	Generators of the group modulo torsion
j	35969456/882525	j-invariant
L	5.6391585843564	L(r)(E,1)/r!
Ω	0.85600965777613	Real period
R	2.1959092529426	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	68880bi2 51660o2 86100i2 120540r2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 17220h2

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

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Quadratic twists for elliptic curve 17220h2

-4	-3	5	-7
68880bi2	51660o2	86100i2	120540r2

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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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