Cremona's table of elliptic curves

17424 = 2⁴ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 11-	Signs for the Atkin-Lehner involutions
Class	17424bw	Isogeny class
Conductor	17424	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	466612625725526016 = 212 · 312 · 118	Discriminant
Eigenvalues	2- 3-  2  4 11-  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-200739,-10874270]	[a1,a2,a3,a4,a6]
j	169112377/88209	j-invariant
L	3.8222347306038	L(r)(E,1)/r!
Ω	0.23888967066274	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1089g2 69696gp2 5808bg2 1584q2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 17424bw2

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

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Quadratic twists for elliptic curve 17424bw2

-4	8	-3	-11
1089g2	69696gp2	5808bg2	1584q2

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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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