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	17424cf	Isogeny class
Conductor	17424	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-2.4696928471851E+24	Discriminant
Eigenvalues	2- 3-  4 -2 11- -4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-175198683,895771025930]	[a1,a2,a3,a4,a6]
j	-112427521449300721/466873642818	j-invariant
L	2.618906714099	L(r)(E,1)/r!
Ω	0.081840834815593	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	2178m4 69696hc4 5808v4 1584s4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 17424cf4

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

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Quadratic twists for elliptic curve 17424cf4

-4	8	-3	-11
2178m4	69696hc4	5808v4	1584s4

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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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