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
Δ	65593817586 = 2 · 32 · 118 · 17	Discriminant
Eigenvalues	2- 3+  2  4 11- -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1937,-31219]	[a1,a2,a3,a4,a6]
j	803760366578833/65593817586	j-invariant
L	2.893488517924	L(r)(E,1)/r!
Ω	0.72337212948101	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	8976bc3 35904bg4 3366c3 28050bi4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122h3

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 1122h3

-4	8	-3	5	-7	-11	17
8976bc3	35904bg4	3366c3	28050bi4	54978bz4	12342c3	19074bc3

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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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