Cremona's table of elliptic curves

3540 = 2² · 3 · 5 · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 59-	Signs for the Atkin-Lehner involutions
Class	3540g	Isogeny class
Conductor	3540	Conductor
∏ cp	135	Product of Tamagawa factors cp
deg	57600	Modular degree for the optimal curve
Δ	2357571336602400000 = 28 · 315 · 55 · 593	Discriminant
Eigenvalues	2- 3- 5+  2  3  5 -3  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-445981,-87808225]	[a1,a2,a3,a4,a6]
j	38320731577531654144/9209263033603125	j-invariant
L	2.8195473890738	L(r)(E,1)/r!
Ω	0.18796982593825	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	14160n1 56640m1 10620k1 17700c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3540g1

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	3	5	-3	5	6	0	-4	-7	-6	5	-12	3	-	8	11	0	-7	17	-6	-3	2

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Quadratic twists for elliptic curve 3540g1

-4	8	-3	5
14160n1	56640m1	10620k1	17700c1

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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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