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	25	Product of Tamagawa factors cp
deg	20	Modular degree for the optimal curve
Δ	-1100000 = -1 · 25 · 55 · 11	Discriminant
Eigenvalues	2- -1 5-  3 11- -6 -7  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,10,-45]	[a1,a2,a3,a4,a6]
j	109902239/1100000	j-invariant
L	1.3595418147107	L(r)(E,1)/r!
Ω	1.3595418147107	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	880g1 3520b1 990d1 550b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 110a1

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 110a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
880g1	3520b1	990d1	550b1	5390ba1	1210g1	18590b1	31790o1	39710m1	58190p1	92510f1	105710j1

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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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