Cremona's table of elliptic curves

4032 = 2⁶ · 3² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Class	4032q	Isogeny class
Conductor	4032	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-85365421682688 = -1 · 212 · 311 · 76	Discriminant
Eigenvalues	2+ 3- -4 7- -2  2  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,7548,-365920]	[a1,a2,a3,a4,a6]
Generators	[61:567:1]	Generators of the group modulo torsion
j	15926924096/28588707	j-invariant
L	2.8866366722809	L(r)(E,1)/r!
Ω	0.31781043419982	Real period
R	0.75690735777468	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4032k2 2016n1 1344e2 100800di2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4032q2

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	-	-2	2	0	4	6	-10	-8	-10	4	8	4	10	8	6	-4	-14	6	4	-12	-4	-2

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Quadratic twists for elliptic curve 4032q2

-4	8	-3	5	-7
4032k2	2016n1	1344e2	100800di2	28224cs2

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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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