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	3	Product of Tamagawa factors cp
deg	28	Modular degree for the optimal curve
Δ	-851840 = -1 · 27 · 5 · 113	Discriminant
Eigenvalues	2+  1 5+  5 11-  2  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-89,316]	[a1,a2,a3,a4,a6]
j	-76711450249/851840	j-invariant
L	0.942057966503	L(r)(E,1)/r!
Ω	2.826173899509	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	880e1 3520j1 990l1 550i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 110c1

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 110c1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
880e1	3520j1	990l1	550i1	5390s1	1210j1	18590n1	31790h1	39710w1	58190i1	92510n1	105710a1

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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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