Cremona's table of elliptic curves

4290 = 2 · 3 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11+ 13-	Signs for the Atkin-Lehner involutions
Class	4290o	Isogeny class
Conductor	4290	Conductor
∏ cp	216	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-1794399750000 = -1 · 24 · 33 · 56 · 112 · 133	Discriminant
Eigenvalues	2+ 3- 5-  2 11+ 13-  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-598,-64744]	[a1,a2,a3,a4,a6]
j	-23592983745241/1794399750000	j-invariant
L	2.2135554630999	L(r)(E,1)/r!
Ω	0.36892591051664	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	34320bm1 12870bw1 21450bo1 47190cz1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290o1

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

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Quadratic twists for elliptic curve 4290o1

-4	-3	5	-11	13
34320bm1	12870bw1	21450bo1	47190cz1	55770cs1

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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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