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	8050g	Isogeny class
Conductor	8050	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	83172851562500 = 22 · 512 · 7 · 233	Discriminant
Eigenvalues	2+  2 5+ 7+  0 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-42275,-3334375]	[a1,a2,a3,a4,a6]
j	534774372149809/5323062500	j-invariant
L	1.9988931851145	L(r)(E,1)/r!
Ω	0.33314886418575	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	64400bt3 72450dg3 1610d3 56350r3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8050g3

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	+	+	0	-2	6	-4	-	6	2	10	-6	10	0	-6	-12	-10	-2	12	16	-10	12	-6	10

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Quadratic twists for elliptic curve 8050g3

-4	-3	5	-7
64400bt3	72450dg3	1610d3	56350r3

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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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