Cremona's table of elliptic curves

176 = 2⁴ · 11

Field	Data	Notes
Atkin-Lehner	2- 11+	Signs for the Atkin-Lehner involutions
Class	176b	Isogeny class
Conductor	176	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	-45056 = -1 · 212 · 11	Discriminant
Eigenvalues	2-  1  1  2 11+  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5,-13]	[a1,a2,a3,a4,a6]
j	-4096/11	j-invariant
L	1.4588166169385	L(r)(E,1)/r!
Ω	1.4588166169385	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	11a3 704k1 1584p1 4400m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 176b1

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
-	1	1	2	+	4	-2	0	1	0	-7	3	-8	6	-8	-6	-5	12	7	3	4	10	6	15	-7

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Quadratic twists for elliptic curve 176b1

-4	8	-3	5	-7	-11	13	17	-19	-23
11a3	704k1	1584p1	4400m1	8624r1	1936g1	29744z1	50864bo1	63536u1	93104z1

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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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