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	1120l	Isogeny class
Conductor	1120	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-78400000000 = -1 · 212 · 58 · 72	Discriminant
Eigenvalues	2-  0 5- 7+  0 -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-572,14464]	[a1,a2,a3,a4,a6]
Generators	[-12:140:1]	Generators of the group modulo torsion
j	-5053029696/19140625	j-invariant
L	2.5457447420793	L(r)(E,1)/r!
Ω	0.94869446452509	Real period
R	0.67085474756977	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1120o4 2240o1 10080j4 5600d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1120l4

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	-	+	0	-2	2	-8	-8	6	0	-2	-6	-8	8	-2	-8	-2	-8	0	10	16	-16	10	-14

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Quadratic twists for elliptic curve 1120l4

-4	8	-3	5	-7
1120o4	2240o1	10080j4	5600d4	7840p4

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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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