Cremona's table of elliptic curves

352 = 2⁵ · 11

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	352f	Isogeny class
Conductor	352	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-5451776 = -1 · 212 · 113	Discriminant
Eigenvalues	2- -3  1  0 11- -6 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,8,112]	[a1,a2,a3,a4,a6]
Generators	[12:44:1]	Generators of the group modulo torsion
j	13824/1331	j-invariant
L	1.2616805128185	L(r)(E,1)/r!
Ω	1.8476278580027	Real period
R	0.11381084375782	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	352e1 704h1 3168h1 8800i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 352f1

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	1	0	-	-6	-4	-6	-3	-4	9	7	-2	-6	-12	2	-9	8	15	3	-6	6	6	-5	-3

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Quadratic twists for elliptic curve 352f1

-4	8	-3	5	-7	-11	13	17	-19
352e1	704h1	3168h1	8800i1	17248bh1	3872g1	59488g1	101728k1	127072l1

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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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