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	3528o	Isogeny class
Conductor	3528	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	20160	Modular degree for the optimal curve
Δ	-11386798747785216 = -1 · 211 · 39 · 710	Discriminant
Eigenvalues	2- 3+  1 7-  5 -2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-64827,-8168202]	[a1,a2,a3,a4,a6]
Generators	[59473314:2634224382:29791]	Generators of the group modulo torsion
j	-2646	j-invariant
L	3.7865197414906	L(r)(E,1)/r!
Ω	0.14683819840266	Real period
R	12.893510621491	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	7056e1 28224m1 3528c1 88200r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3528o1

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	-	5	-2	-6	-2	-6	-3	-5	-2	-8	-4	-4	9	3	12	2	-8	14	1	-17	-18	-3

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Quadratic twists for elliptic curve 3528o1

-4	8	-3	5	-7
7056e1	28224m1	3528c1	88200r1	3528m1

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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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