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	4290k	Isogeny class
Conductor	4290	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1338278906250 = 2 · 32 · 58 · 114 · 13	Discriminant
Eigenvalues	2+ 3- 5+  0 11- 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2824,-15628]	[a1,a2,a3,a4,a6]
Generators	[-20:191:1]	Generators of the group modulo torsion
j	2489411558640889/1338278906250	j-invariant
L	3.0967722900472	L(r)(E,1)/r!
Ω	0.69712757813572	Real period
R	1.1105471893425	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34320z3 12870bx4 21450bx3 47190cm3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290k3

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

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Quadratic twists for elliptic curve 4290k3

-4	-3	5	-11	13
34320z3	12870bx4	21450bx3	47190cm3	55770cx3

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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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