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	1122h	Isogeny class
Conductor	1122	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	296208 = 24 · 32 · 112 · 17	Discriminant
Eigenvalues	2- 3+  2  4 11- -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-387,2769]	[a1,a2,a3,a4,a6]
j	6411014266033/296208	j-invariant
L	2.893488517924	L(r)(E,1)/r!
Ω	2.893488517924	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	8976bc1 35904bg1 3366c1 28050bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122h1

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	-6	-4	2	10	4	-8	6	-4	-6	12	-12	2	4	-4	10	10

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Quadratic twists for elliptic curve 1122h1

-4	8	-3	5	-7	-11	17
8976bc1	35904bg1	3366c1	28050bi1	54978bz1	12342c1	19074bc1

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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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