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	1104b	Isogeny class
Conductor	1104	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	896	Modular degree for the optimal curve
Δ	-28162121472 = -1 · 28 · 314 · 23	Discriminant
Eigenvalues	2+ 3-  0  2  0  2  8 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2908,-61876]	[a1,a2,a3,a4,a6]
j	-10627137250000/110008287	j-invariant
L	2.2739900732227	L(r)(E,1)/r!
Ω	0.3248557247461	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	552b1 4416p1 3312d1 27600i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1104b1

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	8	-6	+	2	4	6	10	-6	0	12	-4	-10	6	0	2	6	0	-12	6

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Quadratic twists for elliptic curve 1104b1

-4	8	-3	5	-7	-23
552b1	4416p1	3312d1	27600i1	54096a1	25392f1

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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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