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	4032i	Isogeny class
Conductor	4032	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-3082108796928 = -1 · 226 · 38 · 7	Discriminant
Eigenvalues	2+ 3- -2 7+ -4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2316,-94736]	[a1,a2,a3,a4,a6]
j	-7189057/16128	j-invariant
L	0.64380215343298	L(r)(E,1)/r!
Ω	0.32190107671649	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4032bl1 126b1 1344g1 100800fu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4032i1

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

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Quadratic twists for elliptic curve 4032i1

-4	8	-3	5	-7
4032bl1	126b1	1344g1	100800fu1	28224cb1

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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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