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	1104g	Isogeny class
Conductor	1104	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	116420160258048 = 218 · 3 · 236	Discriminant
Eigenvalues	2- 3+  0 -2  0  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12328,-85904]	[a1,a2,a3,a4,a6]
Generators	[-30:506:1]	Generators of the group modulo torsion
j	50591419971625/28422890688	j-invariant
L	2.1625170952917	L(r)(E,1)/r!
Ω	0.48736503376332	Real period
R	1.4790536493719	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	138b4 4416z4 3312n4 27600cm4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1104g4

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

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Quadratic twists for elliptic curve 1104g4

-4	8	-3	5	-7	-23
138b4	4416z4	3312n4	27600cm4	54096dc4	25392w4

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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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