Cremona's table of elliptic curves

176 = 2⁴ · 11

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	176c	Isogeny class
Conductor	176	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-340736 = -1 · 28 · 113	Discriminant
Eigenvalues	2- -1 -3 -2 11- -4  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-77,289]	[a1,a2,a3,a4,a6]
Generators	[-3:22:1]	Generators of the group modulo torsion
j	-199794688/1331	j-invariant
L	1.0693142864076	L(r)(E,1)/r!
Ω	3.0540697209359	Real period
R	0.058354610084011	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	44a2 704f2 1584o2 4400s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 176c2

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	-3	-2	-	-4	6	-8	3	0	-5	-1	0	10	0	-6	-3	-4	1	-15	-4	-2	-6	-9	-7

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Quadratic twists for elliptic curve 176c2

-4	8	-3	5	-7	-11	13	17	-19	-23
44a2	704f2	1584o2	4400s2	8624ba2	1936h2	29744o2	50864bd2	63536bm2	93104n2

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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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