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	3528l	Isogeny class
Conductor	3528	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1580841142272 = 211 · 38 · 76	Discriminant
Eigenvalues	2+ 3- -2 7- -4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-169491,-26857586]	[a1,a2,a3,a4,a6]
Generators	[4662:317030:1]	Generators of the group modulo torsion
j	3065617154/9	j-invariant
L	3.0828451371335	L(r)(E,1)/r!
Ω	0.23529514742914	Real period
R	6.5510172453981	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	7056z5 28224by6 1176i5 88200ha6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3528l5

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	2	2	4	8	-6	-8	6	-6	4	0	2	4	2	-4	-8	-10	-8	-4	-6	-2

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Quadratic twists for elliptic curve 3528l5

-4	8	-3	5	-7
7056z5	28224by6	1176i5	88200ha6	72a5

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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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