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
Δ	-20624795251201152 = -1 · 27 · 32 · 118 · 174	Discriminant
Eigenvalues	2- 3-  2  4 11+ -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-82007,-11384343]	[a1,a2,a3,a4,a6]
j	-60992553706117024753/20624795251201152	j-invariant
L	3.8832621364094	L(r)(E,1)/r!
Ω	0.13868793344319	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8976w4 35904w3 3366j4 28050e3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122k4

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 1122k4

-4	8	-3	5	-7	-11	17
8976w4	35904w3	3366j4	28050e3	54978bk3	12342k4	19074y4

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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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