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	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-1098842112 = -1 · 216 · 36 · 23	Discriminant
Eigenvalues	2- 3+  0 -2  0  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-568,-5264]	[a1,a2,a3,a4,a6]
Generators	[60:416:1]	Generators of the group modulo torsion
j	-4956477625/268272	j-invariant
L	2.1625170952917	L(r)(E,1)/r!
Ω	0.48736503376332	Real period
R	2.2185804740578	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	138b1 4416z1 3312n1 27600cm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1104g1

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 1104g1

-4	8	-3	5	-7	-23
138b1	4416z1	3312n1	27600cm1	54096dc1	25392w1

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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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