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	1122n	Isogeny class
Conductor	1122	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	610368 = 26 · 3 · 11 · 172	Discriminant
Eigenvalues	2- 3-  4 -2 11-  0 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-196,-1072]	[a1,a2,a3,a4,a6]
j	832972004929/610368	j-invariant
L	3.8279332355204	L(r)(E,1)/r!
Ω	1.2759777451735	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	8976q1 35904g1 3366g1 28050m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122n1

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
-	-	4	-2	-	0	+	0	-6	-2	4	2	-6	-4	-6	8	8	-8	-4	-6	10	-6	-4	-14	14

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Quadratic twists for elliptic curve 1122n1

-4	8	-3	5	-7	-11	17
8976q1	35904g1	3366g1	28050m1	54978bv1	12342r1	19074r1

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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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