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	4032m	Isogeny class
Conductor	4032	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-438939648 = -1 · 212 · 37 · 72	Discriminant
Eigenvalues	2+ 3-  0 7-  2  2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,60,992]	[a1,a2,a3,a4,a6]
Generators	[4:36:1]	Generators of the group modulo torsion
j	8000/147	j-invariant
L	3.7935493181186	L(r)(E,1)/r!
Ω	1.2472940568306	Real period
R	0.76035584739298	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	4032e2 2016f1 1344c2 100800dh2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4032m2

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

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Quadratic twists for elliptic curve 4032m2

-4	8	-3	5	-7
4032e2	2016f1	1344c2	100800dh2	28224bk2

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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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