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	1122i	Isogeny class
Conductor	1122	Conductor
∏ cp	280	Product of Tamagawa factors cp
Δ	-264305213568 = -1 · 27 · 310 · 112 · 172	Discriminant
Eigenvalues	2- 3- -2 -4 11+ -4 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-264,24768]	[a1,a2,a3,a4,a6]
Generators	[6:150:1]	Generators of the group modulo torsion
j	-2035346265217/264305213568	j-invariant
L	3.4824188156583	L(r)(E,1)/r!
Ω	0.8040972780056	Real period
R	0.061869181235238	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8976u2 35904q2 3366k2 28050i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122i2

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	+	-4	+	-8	0	0	10	8	-10	-8	10	-12	-8	-2	4	-4	10	12	4	-6	-10

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Quadratic twists for elliptic curve 1122i2

-4	8	-3	5	-7	-11	17
8976u2	35904q2	3366k2	28050i2	54978bo2	12342q2	19074t2

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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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