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	1122l	Isogeny class
Conductor	1122	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	38148 = 22 · 3 · 11 · 172	Discriminant
Eigenvalues	2- 3-  0  2 11-  4 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-198,1056]	[a1,a2,a3,a4,a6]
j	858729462625/38148	j-invariant
L	3.4291476090163	L(r)(E,1)/r!
Ω	3.4291476090163	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	8976l1 35904b1 3366d1 28050o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122l1

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	-2	4	-6	10	-4	-2	12	0	12	12	-10	-14	-10	-4	2	-18

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Quadratic twists for elliptic curve 1122l1

-4	8	-3	5	-7	-11	17
8976l1	35904b1	3366d1	28050o1	54978bs1	12342o1	19074m1

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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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