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	546f	Isogeny class
Conductor	546	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-2635437714 = -1 · 2 · 3 · 7 · 137	Discriminant
Eigenvalues	2- 3- -1 7-  5 13+ -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3674496,-2711401518]	[a1,a2,a3,a4,a6]
j	-5486773802537974663600129/2635437714	j-invariant
L	2.6715677590972	L(r)(E,1)/r!
Ω	0.054521791001983	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	49	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4368n2 17472m2 1638h2 13650f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 546f2

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	+	-3	-1	3	9	4	-11	0	-5	-8	-2	4	-15	-2	-12	11	10	-14	6	-14

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Quadratic twists for elliptic curve 546f2

-4	8	-3	5	-7	-11	13
4368n2	17472m2	1638h2	13650f2	3822v2	66066v2	7098i2

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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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