Cremona's table of elliptic curves

2832 = 2⁴ · 3 · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 59+	Signs for the Atkin-Lehner involutions
Class	2832c	Isogeny class
Conductor	2832	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	-278396928 = -1 · 219 · 32 · 59	Discriminant
Eigenvalues	2- 3- -4  1  3 -1 -7  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-80,-876]	[a1,a2,a3,a4,a6]
Generators	[34:192:1]	Generators of the group modulo torsion
j	-13997521/67968	j-invariant
L	3.2684304772713	L(r)(E,1)/r!
Ω	0.7208740572151	Real period
R	0.56674783281458	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	354f1 11328p1 8496x1 70800w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2832c1

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
-	-	-4	1	3	-1	-7	4	-2	-2	0	7	3	-5	-12	-8	+	-14	4	15	-4	-5	-1	4	-4

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Quadratic twists for elliptic curve 2832c1

-4	8	-3	5
354f1	11328p1	8496x1	70800w1

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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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