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	24	Product of Tamagawa factors cp
Δ	193444524 = 22 · 312 · 7 · 13	Discriminant
Eigenvalues	2+ 3- -2 7+ -4 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1957,33140]	[a1,a2,a3,a4,a6]
Generators	[-35:260:1]	Generators of the group modulo torsion
j	828279937799497/193444524	j-invariant
L	1.6107831676244	L(r)(E,1)/r!
Ω	1.7445566570829	Real period
R	0.61554632847439	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4368t3 17472a3 1638q3 13650bw3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 546c3

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 546c3

-4	8	-3	5	-7	-11	13
4368t3	17472a3	1638q3	13650bw3	3822d3	66066ct4	7098bd3

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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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