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	17424cd	Isogeny class
Conductor	17424	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-43564913358633216 = -1 · 28 · 38 · 1110	Discriminant
Eigenvalues	2- 3- -3  2 11- -5 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48007839,128031357674]	[a1,a2,a3,a4,a6]
j	-2527934627152/9	j-invariant
L	0.48126779922347	L(r)(E,1)/r!
Ω	0.24063389961173	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4356j2 69696gr2 5808t2 17424ce2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 17424cd2

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
-	-	-3	2	-	-5	-3	-4	6	-9	-8	-7	-3	-10	12	9	-6	-14	-2	-6	10	8	0	3	-1

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Quadratic twists for elliptic curve 17424cd2

-4	8	-3	-11
4356j2	69696gr2	5808t2	17424ce2

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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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