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	546g	Isogeny class
Conductor	546	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-32388174 = -1 · 2 · 34 · 7 · 134	Discriminant
Eigenvalues	2- 3-  2 7- -4 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,43,255]	[a1,a2,a3,a4,a6]
j	8780064047/32388174	j-invariant
L	2.9547312603905	L(r)(E,1)/r!
Ω	1.4773656301952	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4368o4 17472o4 1638i4 13650e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 546g4

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	+	6	-4	0	-6	-8	10	-6	4	4	10	4	-6	-8	0	-10	-8	4	-6	-2

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Quadratic twists for elliptic curve 546g4

-4	8	-3	5	-7	-11	13
4368o4	17472o4	1638i4	13650e4	3822x4	66066w3	7098k4

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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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