Cremona's table of elliptic curves

4329 = 3² · 13 · 37

Field	Data	Notes
Atkin-Lehner	3- 13+ 37-	Signs for the Atkin-Lehner involutions
Class	4329c	Isogeny class
Conductor	4329	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	4928	Modular degree for the optimal curve
Δ	-62116418403 = -1 · 317 · 13 · 37	Discriminant
Eigenvalues	0 3- -4 -4  3 13+ -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,978,2281]	[a1,a2,a3,a4,a6]
Generators	[103:1093:1]	Generators of the group modulo torsion
j	141909917696/85207707	j-invariant
L	1.8150758658929	L(r)(E,1)/r!
Ω	0.67812115910162	Real period
R	0.66915618305491	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	69264w1 1443b1 108225o1 56277f1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4329c1

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
0	-	-4	-4	3	+	-3	1	4	-5	5	-	6	4	-8	0	4	2	10	-5	16	-14	-11	-10	-11

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Quadratic twists for elliptic curve 4329c1

-4	-3	5	13
69264w1	1443b1	108225o1	56277f1

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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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