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	4290bb	Isogeny class
Conductor	4290	Conductor
∏ cp	864	Product of Tamagawa factors cp
Δ	1335706803288000 = 26 · 312 · 53 · 11 · 134	Discriminant
Eigenvalues	2- 3- 5- -4 11+ 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-471900,124722000]	[a1,a2,a3,a4,a6]
Generators	[-780:4680:1]	Generators of the group modulo torsion
j	11621808143080380273601/1335706803288000	j-invariant
L	5.9624636195066	L(r)(E,1)/r!
Ω	0.46323956189565	Real period
R	2.1452052422247	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	12	Number of elements in the torsion subgroup
Twists	34320bn5 12870p4 21450d5 47190bh5	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290bb4

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

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Quadratic twists for elliptic curve 4290bb4

-4	-3	5	-11	13
34320bn5	12870p4	21450d5	47190bh5	55770bc5

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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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