Cremona's table of elliptic curves

1104 = 2⁴ · 3 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 23+	Signs for the Atkin-Lehner involutions
Class	1104d	Isogeny class
Conductor	1104	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	-52992 = -1 · 28 · 32 · 23	Discriminant
Eigenvalues	2+ 3-  4 -2  0  2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,4,12]	[a1,a2,a3,a4,a6]
j	21296/207	j-invariant
L	2.6044730460735	L(r)(E,1)/r!
Ω	2.6044730460735	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	552c1 4416r1 3312i1 27600g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1104d1

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	2	-4	6	+	10	-4	-2	-6	6	-8	8	4	-2	-6	0	-14	10	-16	0	-18

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Quadratic twists for elliptic curve 1104d1

-4	8	-3	5	-7	-23
552c1	4416r1	3312i1	27600g1	54096i1	25392t1

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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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