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	110b	Isogeny class
Conductor	110	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-332750 = -1 · 2 · 53 · 113	Discriminant
Eigenvalues	2-  1 5+ -1 11+  2 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,9,-25]	[a1,a2,a3,a4,a6]
j	80062991/332750	j-invariant
L	1.5407473442501	L(r)(E,1)/r!
Ω	1.5407473442501	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	880f2 3520m2 990f2 550a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 110b2

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	+	-1	+	2	-3	-1	6	-9	5	5	-6	8	6	9	6	5	8	-9	-10	14	-6	-15	8

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Quadratic twists for elliptic curve 110b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
880f2	3520m2	990f2	550a2	5390be2	1210c2	18590i2	31790t2	39710e2	58190bh2	92510b2	105710i2

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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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