Cremona's table of elliptic curves

110 = 2 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	110c	Isogeny class
Conductor	110	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-2883584000 = -1 · 221 · 53 · 11	Discriminant
Eigenvalues	2+  1 5+  5 11-  2  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,296,1702]	[a1,a2,a3,a4,a6]
j	2882081488391/2883584000	j-invariant
L	0.942057966503	L(r)(E,1)/r!
Ω	0.942057966503	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	880e2 3520j2 990l2 550i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 110c2

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
+	1	+	5	-	2	3	-7	-6	-3	-7	-7	6	8	6	-3	-6	-1	8	3	2	-10	-6	9	-4

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Quadratic twists for elliptic curve 110c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
880e2	3520j2	990l2	550i2	5390s2	1210j2	18590n2	31790h2	39710w2	58190i2	92510n2	105710a2

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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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