Cremona's table of elliptic curves

1160 = 2³ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5+ 29+	Signs for the Atkin-Lehner involutions
Class	1160a	Isogeny class
Conductor	1160	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	26912000 = 28 · 53 · 292	Discriminant
Eigenvalues	2+  2 5+ -4  0 -2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-676,-6540]	[a1,a2,a3,a4,a6]
Generators	[246:3828:1]	Generators of the group modulo torsion
j	133649126224/105125	j-invariant
L	2.9832758483916	L(r)(E,1)/r!
Ω	0.93622420066831	Real period
R	3.1864972580948	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	2320b2 9280l2 10440bd2 5800i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1160a2

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	+	-4	0	-2	-4	0	0	+	0	-4	-2	-2	-10	-6	4	-6	0	8	8	0	8	14	4

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Quadratic twists for elliptic curve 1160a2

-4	8	-3	5	-7	29
2320b2	9280l2	10440bd2	5800i2	56840f2	33640e2

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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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