Cremona's table of elliptic curves

1122 = 2 · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	1122k	Isogeny class
Conductor	1122	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	2688	Modular degree for the optimal curve
Δ	4969545596928 = 228 · 32 · 112 · 17	Discriminant
Eigenvalues	2- 3-  2  4 11+ -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5847,-135063]	[a1,a2,a3,a4,a6]
j	22106889268753393/4969545596928	j-invariant
L	3.8832621364094	L(r)(E,1)/r!
Ω	0.55475173377277	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	8976w1 35904w1 3366j1 28050e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122k1

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
-	-	2	4	+	-2	-	-4	-4	2	-4	-6	-6	-4	0	6	4	-6	-4	4	10	4	12	-6	-6

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Quadratic twists for elliptic curve 1122k1

-4	8	-3	5	-7	-11	17
8976w1	35904w1	3366j1	28050e1	54978bk1	12342k1	19074y1

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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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