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	-132611470002 = -1 · 2 · 38 · 112 · 174	Discriminant
Eigenvalues	2- 3+  2  4 11- -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,803,15509]	[a1,a2,a3,a4,a6]
j	57258048889007/132611470002	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	8976bc4 35904bg3 3366c4 28050bi3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122h4

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 1122h4

-4	8	-3	5	-7	-11	17
8976bc4	35904bg3	3366c4	28050bi3	54978bz3	12342c4	19074bc4

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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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