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	17424bc	Isogeny class
Conductor	17424	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1.0121000671478E+21	Discriminant
Eigenvalues	2- 3+  0  2 11- -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2564595,395091378]	[a1,a2,a3,a4,a6]
Generators	[766607765:-102099569858:42875]	Generators of the group modulo torsion
j	13060888875/7086244	j-invariant
L	5.5781468537607	L(r)(E,1)/r!
Ω	0.13605185567369	Real period
R	10.250038167689	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2178a4 69696ee4 17424bd2 1584j4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 17424bc4

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
-	+	0	2	-	-2	6	2	0	6	4	2	-6	-10	-12	-12	-12	10	-8	-12	-14	2	-12	0	2

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Quadratic twists for elliptic curve 17424bc4

-4	8	-3	-11
2178a4	69696ee4	17424bd2	1584j4

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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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