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	3528q	Isogeny class
Conductor	3528	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	4149707998464 = 28 · 39 · 77	Discriminant
Eigenvalues	2- 3+ -2 7-  2 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48951,4167450]	[a1,a2,a3,a4,a6]
Generators	[-63:2646:1]	Generators of the group modulo torsion
j	21882096/7	j-invariant
L	3.1377868612023	L(r)(E,1)/r!
Ω	0.76396762198419	Real period
R	0.51340311600064	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	7056i2 28224n2 3528d2 88200e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3528q2

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	-	2	-2	-6	4	6	0	4	10	-2	-4	-4	-12	-12	-6	-4	-14	2	-8	16	6	18

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Quadratic twists for elliptic curve 3528q2

-4	8	-3	5	-7
7056i2	28224n2	3528d2	88200e2	504d2

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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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