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	1122g	Isogeny class
Conductor	1122	Conductor
∏ cp	52	Product of Tamagawa factors cp
deg	16224	Modular degree for the optimal curve
Δ	340131399900069888 = 226 · 313 · 11 · 172	Discriminant
Eigenvalues	2- 3+  2 -2 11-  4 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-411787,-97932871]	[a1,a2,a3,a4,a6]
j	7722211175253055152433/340131399900069888	j-invariant
L	2.4567212788762	L(r)(E,1)/r!
Ω	0.18897855991356	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	8976bb1 35904bf1 3366b1 28050bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122g1

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	-2	-	4	-	-2	2	6	8	2	-2	-2	4	12	-10	6	-12	6	8	-2	-4	-2	10

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Quadratic twists for elliptic curve 1122g1

-4	8	-3	5	-7	-11	17
8976bb1	35904bf1	3366b1	28050bg1	54978ca1	12342b1	19074bb1

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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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