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	546c	Isogeny class
Conductor	546	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-7406095788 = -1 · 22 · 33 · 74 · 134	Discriminant
Eigenvalues	2+ 3- -2 7+ -4 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,403,2756]	[a1,a2,a3,a4,a6]
Generators	[-3:40:1]	Generators of the group modulo torsion
j	7264187703863/7406095788	j-invariant
L	1.6107831676244	L(r)(E,1)/r!
Ω	0.87227832854144	Real period
R	0.1538865821186	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	4368t4 17472a4 1638q4 13650bw4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 546c4

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	-4	-4	-2	0	-2	2	4	-12	6	0	-10	4	-8	-6	8	8	-6	2

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Quadratic twists for elliptic curve 546c4

-4	8	-3	5	-7	-11	13
4368t4	17472a4	1638q4	13650bw4	3822d4	66066ct3	7098bd4

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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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