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	5082n	Isogeny class
Conductor	5082	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	8170990989009156 = 22 · 34 · 76 · 118	Discriminant
Eigenvalues	2+ 3-  2 7- 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-304560,-64571894]	[a1,a2,a3,a4,a6]
j	1763535241378513/4612311396	j-invariant
L	2.4391079366339	L(r)(E,1)/r!
Ω	0.20325899471949	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	40656bj2 15246bu2 127050fi2 35574o2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5082n2

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	2	0	0	2	4	-2	10	-4	4	-2	-12	2	12	8	-6	8	8	-14	-14

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Quadratic twists for elliptic curve 5082n2

-4	-3	5	-7	-11
40656bj2	15246bu2	127050fi2	35574o2	462f2

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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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