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	540	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	11151660319506432 = 230 · 33 · 113 · 172	Discriminant
Eigenvalues	2- 3-  0  2 11- -4 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-205448,-35497920]	[a1,a2,a3,a4,a6]
j	959024269496848362625/11151660319506432	j-invariant
L	3.3660501376679	L(r)(E,1)/r!
Ω	0.2244033425112	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	8976m1 35904a1 3366e1 28050n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122m1

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 1122m1

-4	8	-3	5	-7	-11	17
8976m1	35904a1	3366e1	28050n1	54978br1	12342n1	19074n1

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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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