Cremona's table of elliptic curves

5082 = 2 · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	5082u	Isogeny class
Conductor	5082	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	-1.2918881486356E+20	Discriminant
Eigenvalues	2- 3+  2 7- 11- -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-174787,-547648639]	[a1,a2,a3,a4,a6]
j	-333345918055753/72923718045024	j-invariant
L	3.3060613941953	L(r)(E,1)/r!
Ω	0.082651534854883	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	40656cl3 15246q4 127050cr3 35574de3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5082u4

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	-	-	-2	-6	8	4	-2	8	6	-6	-8	4	10	4	14	-4	-4	14	8	-4	-14	18

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Quadratic twists for elliptic curve 5082u4

-4	-3	5	-7	-11
40656cl3	15246q4	127050cr3	35574de3	462b4

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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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