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	3528s	Isogeny class
Conductor	3528	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	13440	Modular degree for the optimal curve
Δ	-2091452831225856 = -1 · 211 · 311 · 78	Discriminant
Eigenvalues	2- 3-  1 7+ -3  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,17493,2012038]	[a1,a2,a3,a4,a6]
Generators	[-82:162:1]	Generators of the group modulo torsion
j	68782/243	j-invariant
L	3.691882981226	L(r)(E,1)/r!
Ω	0.32952111593972	Real period
R	2.8009456774095	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7056n1 28224z1 1176d1 88200bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3528s1

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
-	-	1	+	-3	4	0	-4	-8	3	-5	8	-8	6	-10	-9	5	-10	6	-10	2	11	-7	18	-17

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Quadratic twists for elliptic curve 3528s1

-4	8	-3	5	-7
7056n1	28224z1	1176d1	88200bj1	3528v1

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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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