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	8	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-13565952 = -1 · 216 · 32 · 23	Discriminant
Eigenvalues	2- 3-  2  0  0 -2  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,48,-108]	[a1,a2,a3,a4,a6]
j	2924207/3312	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	2	Number of elements in the torsion subgroup
Twists	138c1 4416w1 3312p1 27600be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1104h1

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 1104h1

-4	8	-3	5	-7	-23
138c1	4416w1	3312p1	27600be1	54096by1	25392be1

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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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