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	110a	Isogeny class
Conductor	110	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	-1610510 = -1 · 2 · 5 · 115	Discriminant
Eigenvalues	2- -1 5-  3 11- -6 -7  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5940,-178685]	[a1,a2,a3,a4,a6]
j	-23178622194826561/1610510	j-invariant
L	1.3595418147107	L(r)(E,1)/r!
Ω	0.27190836294215	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	880g2 3520b2 990d2 550b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 110a2

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	-	3	-	-6	-7	5	-6	5	-3	3	2	4	-2	-1	-10	7	8	7	14	10	-6	-15	-12

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Quadratic twists for elliptic curve 110a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
880g2	3520b2	990d2	550b2	5390ba2	1210g2	18590b2	31790o2	39710m2	58190p2	92510f2	105710j2

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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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