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	1122m	Isogeny class
Conductor	1122	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	815656731648 = 210 · 3 · 11 · 176	Discriminant
Eigenvalues	2- 3-  0  2 11- -4 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-16594568,-26020768704]	[a1,a2,a3,a4,a6]
j	505384091400037554067434625/815656731648	j-invariant
L	3.3660501376679	L(r)(E,1)/r!
Ω	0.074801114170399	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8976m3 35904a3 3366e3 28050n3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122m3

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
-	-	0	2	-	-4	+	8	6	6	-4	2	-6	-4	6	-12	0	-4	-4	6	2	-10	12	18	14

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Quadratic twists for elliptic curve 1122m3

-4	8	-3	5	-7	-11	17
8976m3	35904a3	3366e3	28050n3	54978br3	12342n3	19074n3

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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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