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	1104i	Isogeny class
Conductor	1104	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-3391488 = -1 · 214 · 32 · 23	Discriminant
Eigenvalues	2- 3- -2  2  6 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-24,-108]	[a1,a2,a3,a4,a6]
j	-389017/828	j-invariant
L	2.0149952439763	L(r)(E,1)/r!
Ω	1.0074976219881	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	138a1 4416u1 3312o1 27600bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1104i1

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	2	6	-2	0	0	-	6	-8	0	10	12	8	2	12	4	12	0	-10	6	-14	0	-6

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Quadratic twists for elliptic curve 1104i1

-4	8	-3	5	-7	-23
138a1	4416u1	3312o1	27600bi1	54096bx1	25392bc1

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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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