Cremona's table of elliptic curves

1120 = 2⁵ · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	1120c	Isogeny class
Conductor	1120	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-6146560 = -1 · 29 · 5 · 74	Discriminant
Eigenvalues	2+  0 5+ 7-  4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,37,82]	[a1,a2,a3,a4,a6]
j	10941048/12005	j-invariant
L	1.5851651171017	L(r)(E,1)/r!
Ω	1.5851651171017	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	1120i4 2240k4 10080cf4 5600k4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1120c4

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	+	-	4	2	6	-4	-8	6	0	10	10	12	0	-6	12	2	4	-12	-10	-4	0	18	-10

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Quadratic twists for elliptic curve 1120c4

-4	8	-3	5	-7
1120i4	2240k4	10080cf4	5600k4	7840h4

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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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