Cremona's table of elliptic curves

1020 = 2² · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17-	Signs for the Atkin-Lehner involutions
Class	1020f	Isogeny class
Conductor	1020	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-2962701562500000000 = -1 · 28 · 38 · 514 · 172	Discriminant
Eigenvalues	2- 3- 5+  0 -2  2 17-  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-407716,129860084]	[a1,a2,a3,a4,a6]
j	-29279123829148431184/11573052978515625	j-invariant
L	1.9054174290859	L(r)(E,1)/r!
Ω	0.23817717863573	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	4080s2 16320q2 3060k2 5100a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1020f2

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	-	8	4	2	2	6	2	-2	6	-6	-8	10	-2	2	-2	10	-2	-2	2

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Quadratic twists for elliptic curve 1020f2

-4	8	-3	5	-7	-11	17
4080s2	16320q2	3060k2	5100a2	49980l2	123420v2	17340d2

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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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