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	4290u	Isogeny class
Conductor	4290	Conductor
∏ cp	42	Product of Tamagawa factors cp
Δ	877598977782384000 = 27 · 39 · 53 · 118 · 13	Discriminant
Eigenvalues	2- 3+ 5-  4 11+ 13- -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-21835008305,1241866677853775]	[a1,a2,a3,a4,a6]
j	1151287518770166280399859009187288721/877598977782384000	j-invariant
L	3.4634098536117	L(r)(E,1)/r!
Ω	0.082462139371708	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34320cm4 12870o3 21450x4 47190s4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290u4

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

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Quadratic twists for elliptic curve 4290u4

-4	-3	5	-11	13
34320cm4	12870o3	21450x4	47190s4	55770g4

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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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