Cremona's table of elliptic curves

546 = 2 · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 13-	Signs for the Atkin-Lehner involutions
Class	546d	Isogeny class
Conductor	546	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-36641439744 = -1 · 227 · 3 · 7 · 13	Discriminant
Eigenvalues	2+ 3-  3 7-  3 13- -3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-26057,-1621108]	[a1,a2,a3,a4,a6]
j	-1956469094246217097/36641439744	j-invariant
L	1.6909566491933	L(r)(E,1)/r!
Ω	0.18788407213259	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4368p3 17472i3 1638t3 13650br3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 546d3

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
+	-	3	-	3	-	-3	-7	9	-9	-4	-7	12	-1	0	-6	12	-1	14	12	-7	-10	-6	-6	-10

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Quadratic twists for elliptic curve 546d3

-4	8	-3	5	-7	-11	13
4368p3	17472i3	1638t3	13650br3	3822f3	66066cm3	7098x3

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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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