Cremona's table of elliptic curves

352 = 2⁵ · 11

Field	Data	Notes
Atkin-Lehner	2+ 11+	Signs for the Atkin-Lehner involutions
Class	352d	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	[3:4:1]	Generators of the group modulo torsion
j	512/11	j-invariant
L	1.4403302304889	L(r)(E,1)/r!
Ω	1.7453844566608	Real period
R	0.41261116569254	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	352b1 704c1 3168ba1 8800q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 352d1

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 352d1

-4	8	-3	5	-7	-11	13	17	-19
352b1	704c1	3168ba1	8800q1	17248i1	3872k1	59488v1	101728d1	127072r1

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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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