Cremona's table of elliptic curves

8050 = 2 · 5² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 23+	Signs for the Atkin-Lehner involutions
Class	8050t	Isogeny class
Conductor	8050	Conductor
∏ cp	972	Product of Tamagawa factors cp
deg	1088640	Modular degree for the optimal curve
Δ	-1.7261141063893E+24	Discriminant
Eigenvalues	2-  1 5- 7-  3  2  3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,22908362,-47057366108]	[a1,a2,a3,a4,a6]
j	3403656999841015798655/4418852112356605952	j-invariant
L	4.8392906013155	L(r)(E,1)/r!
Ω	0.044808246308477	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	64400ce1 72450ci1 8050f1 56350bx1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8050t1

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
-	1	-	-	3	2	3	5	+	6	-4	-4	3	8	-6	12	-12	2	-7	-6	-7	-10	3	9	14

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Quadratic twists for elliptic curve 8050t1

-4	-3	5	-7
64400ce1	72450ci1	8050f1	56350bx1

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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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