Cremona's table of elliptic curves

76050 = 2 · 3² · 5² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	76050ey	Isogeny class
Conductor	76050	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	1.4045813103206E+23	Discriminant
Eigenvalues	2- 3- 5+  4 -4 13+  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-49414280,-132464729653]	[a1,a2,a3,a4,a6]
Generators	[10069:620065:1]	Generators of the group modulo torsion
j	242702053576633/2554695936	j-invariant
L	12.118153981747	L(r)(E,1)/r!
Ω	0.056978704157516	Real period
R	6.646207869243	Regulator
r	1	Rank of the group of rational points
S	0.99999999994361	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	25350bg2 3042d2 5850m2	Quadratic twists by: -3 5 13

Hecke Eigenvalues for elliptic curve 76050ey2

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	-4	+	2	8	0	-6	4	-2	-10	-4	-8	-10	4	-2	-16	-8	2	8	-12	14	10

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Quadratic twists for elliptic curve 76050ey2

-3	5	13
25350bg2	3042d2	5850m2

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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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