Cremona's table of elliptic curves

352 = 2⁵ · 11

Field	Data	Notes
Atkin-Lehner	2+ 11+	Signs for the Atkin-Lehner involutions
Class	352c	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  1 -4 11+ -2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-45,133]	[a1,a2,a3,a4,a6]
Generators	[3:4:1]	Generators of the group modulo torsion
j	-2515456/11	j-invariant
L	1.4943761441654	L(r)(E,1)/r!
Ω	3.6135445187421	Real period
R	0.20677428165264	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	352a1 704j1 3168x1 8800p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 352c1

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	-4	+	-2	0	2	-9	4	-5	-9	2	6	4	-6	5	0	13	1	14	10	-14	-13	-19

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Quadratic twists for elliptic curve 352c1

-4	8	-3	5	-7	-11	13	17	-19
352a1	704j1	3168x1	8800p1	17248f1	3872j1	59488u1	101728c1	127072p1

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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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