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	1160c	Isogeny class
Conductor	1160	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	11600000000 = 210 · 58 · 29	Discriminant
Eigenvalues	2+  0 5-  0  0 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-827,-7546]	[a1,a2,a3,a4,a6]
Generators	[-17:40:1]	Generators of the group modulo torsion
j	61085802564/11328125	j-invariant
L	2.6039713604768	L(r)(E,1)/r!
Ω	0.90167530584792	Real period
R	0.72198144486948	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	2320d3 9280a3 10440q3 5800j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1160c3

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

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Quadratic twists for elliptic curve 1160c3

-4	8	-3	5	-7	29
2320d3	9280a3	10440q3	5800j3	56840b4	33640g4

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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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