Cremona's table of elliptic curves

352 = 2⁵ · 11

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	352b	Isogeny class
Conductor	352	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	32	Modular degree for the optimal curve
Δ	-45056 = -1 · 212 · 11	Discriminant
Eigenvalues	2-  1 -3 -4 11- -2 -8  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3,11]	[a1,a2,a3,a4,a6]
Generators	[1:4:1]	Generators of the group modulo torsion
j	512/11	j-invariant
L	1.6620028339646	L(r)(E,1)/r!
Ω	2.6902393719038	Real period
R	0.30889497256678	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	352d1 704b1 3168j1 8800f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 352b1

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	-4	-	-2	-8	6	5	4	1	3	-6	-6	-12	-6	3	0	11	-5	-10	-2	-2	-5	13

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Quadratic twists for elliptic curve 352b1

-4	8	-3	5	-7	-11	13	17	-19
352d1	704b1	3168j1	8800f1	17248bf1	3872c1	59488c1	101728i1	127072k1

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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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