Cremona's table of elliptic curves

176 = 2⁴ · 11

Field	Data	Notes
Atkin-Lehner	2+ 11-	Signs for the Atkin-Lehner involutions
Class	176a	Isogeny class
Conductor	176	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	-2816 = -1 · 28 · 11	Discriminant
Eigenvalues	2+  3 -3  2 11-  0 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4,-4]	[a1,a2,a3,a4,a6]
j	-27648/11	j-invariant
L	1.655423653162	L(r)(E,1)/r!
Ω	1.655423653162	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	88a1 704i1 1584d1 4400e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 176a1

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
+	3	-3	2	-	0	-6	-4	-1	-8	7	-1	4	-6	8	2	1	4	5	-3	16	-2	2	15	-7

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Quadratic twists for elliptic curve 176a1

-4	8	-3	5	-7	-11	13	17	-19	-23
88a1	704i1	1584d1	4400e1	8624l1	1936e1	29744d1	50864l1	63536j1	93104d1

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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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