Cremona's table of elliptic curves

3528 = 2³ · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Class	3528i	Isogeny class
Conductor	3528	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	20739898368 = 210 · 310 · 73	Discriminant
Eigenvalues	2+ 3-  0 7-  0 -4  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1155,-13426]	[a1,a2,a3,a4,a6]
Generators	[-17:36:1]	Generators of the group modulo torsion
j	665500/81	j-invariant
L	3.4968822170537	L(r)(E,1)/r!
Ω	0.82547296329935	Real period
R	1.0590541339709	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	7056r2 28224bg2 1176g2 88200ga2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3528i2

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	-	0	-4	4	4	-4	-2	-8	-6	12	4	-8	-6	12	-4	-4	12	-8	-16	-4	4	-16

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Quadratic twists for elliptic curve 3528i2

-4	8	-3	5	-7
7056r2	28224bg2	1176g2	88200ga2	3528h2

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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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