Cremona's table of elliptic curves

506 = 2 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 11- 23+	Signs for the Atkin-Lehner involutions
Class	506c	Isogeny class
Conductor	506	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	1070696 = 23 · 11 · 233	Discriminant
Eigenvalues	2+ -2  3  5 11- -1 -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-397,-3072]	[a1,a2,a3,a4,a6]
j	6894801108937/1070696	j-invariant
L	1.0698850008788	L(r)(E,1)/r!
Ω	1.0698850008788	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4048g2 16192c2 4554be2 12650v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 506c2

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	3	5	-	-1	-3	2	+	3	5	-7	-6	8	3	6	-6	8	-7	-9	-16	17	12	6	-10

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Quadratic twists for elliptic curve 506c2

-4	8	-3	5	-7	-11	13	-23
4048g2	16192c2	4554be2	12650v2	24794p2	5566f2	85514j2	11638e2

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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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