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	4290q	Isogeny class
Conductor	4290	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	38228327280 = 24 · 32 · 5 · 11 · 136	Discriminant
Eigenvalues	2- 3+ 5+ -2 11+ 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4556,116093]	[a1,a2,a3,a4,a6]
Generators	[27:103:1]	Generators of the group modulo torsion
j	10458774902616769/38228327280	j-invariant
L	4.180756054978	L(r)(E,1)/r!
Ω	1.1578620274939	Real period
R	0.30089624639381	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	34320by2 12870ba2 21450v2 47190c2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290q2

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

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Quadratic twists for elliptic curve 4290q2

-4	-3	5	-11	13
34320by2	12870ba2	21450v2	47190c2	55770p2

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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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