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	1104h	Isogeny class
Conductor	1104	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	20632117248 = 213 · 32 · 234	Discriminant
Eigenvalues	2- 3-  2  0  0 -2  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1712,25812]	[a1,a2,a3,a4,a6]
j	135559106353/5037138	j-invariant
L	2.4085234166199	L(r)(E,1)/r!
Ω	1.2042617083099	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	138c3 4416w4 3312p3 27600be3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1104h4

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

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Quadratic twists for elliptic curve 1104h4

-4	8	-3	5	-7	-23
138c3	4416w4	3312p3	27600be3	54096by3	25392be3

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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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