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	224	Product of Tamagawa factors cp
Δ	5615307472896 = 214 · 34 · 114 · 172	Discriminant
Eigenvalues	2- 3-  2  4 11+ -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-87767,-10014615]	[a1,a2,a3,a4,a6]
j	74768347616680342513/5615307472896	j-invariant
L	3.8832621364094	L(r)(E,1)/r!
Ω	0.27737586688639	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	8976w2 35904w2 3366j2 28050e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122k2

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 1122k2

-4	8	-3	5	-7	-11	17
8976w2	35904w2	3366j2	28050e2	54978bk2	12342k2	19074y2

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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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