Cremona's table of elliptic curves

8450 = 2 · 5² · 13²

Field	Data	Notes
Atkin-Lehner	2- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	8450m	Isogeny class
Conductor	8450	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	5098317006250000 = 24 · 58 · 138	Discriminant
Eigenvalues	2-  0 5+  0  0 13+ -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-366255,-85153753]	[a1,a2,a3,a4,a6]
j	72043225281/67600	j-invariant
L	3.1052616837635	L(r)(E,1)/r!
Ω	0.19407885523522	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	67600be2 76050y2 1690a2 650a2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 8450m2

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

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Quadratic twists for elliptic curve 8450m2

-4	-3	5	13
67600be2	76050y2	1690a2	650a2

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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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