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	-1.2094599258806E+21	Discriminant
Eigenvalues	2- 3-  4 -2 11- -4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2003397,-1268243350]	[a1,a2,a3,a4,a6]
j	168105213359/228637728	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	2178m2 69696hc2 5808v2 1584s2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 17424cf2

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 17424cf2

-4	8	-3	-11
2178m2	69696hc2	5808v2	1584s2

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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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