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	5082g	Isogeny class
Conductor	5082	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2.0538455041091E+20	Discriminant
Eigenvalues	2+ 3+ -4 7- 11+  2  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2109362,955680180]	[a1,a2,a3,a4,a6]
j	779828911477214942771/154308452600236032	j-invariant
L	0.67574306295451	L(r)(E,1)/r!
Ω	0.16893576573863	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	40656ce2 15246bo2 127050hc2 35574z2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5082g2

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
+	+	-4	-	+	2	2	6	-2	-6	-8	6	6	10	2	-12	4	-6	-4	-6	-16	-4	4	18	-2

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Quadratic twists for elliptic curve 5082g2

-4	-3	5	-7	-11
40656ce2	15246bo2	127050hc2	35574z2	5082p2

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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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