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	17424i	Isogeny class
Conductor	17424	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-724324322304 = -1 · 210 · 312 · 113	Discriminant
Eigenvalues	2+ 3-  2  2 11+  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1221,-37510]	[a1,a2,a3,a4,a6]
j	202612/729	j-invariant
L	3.6718105976993	L(r)(E,1)/r!
Ω	0.45897632471241	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8712e2 69696ff2 5808a2 17424j2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 17424i2

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

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Quadratic twists for elliptic curve 17424i2

-4	8	-3	-11
8712e2	69696ff2	5808a2	17424j2

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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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