Cremona's table of elliptic curves

17328 = 2⁴ · 3 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 19-	Signs for the Atkin-Lehner involutions
Class	17328f	Isogeny class
Conductor	17328	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-632152115693568 = -1 · 211 · 38 · 196	Discriminant
Eigenvalues	2+ 3+ -2  0 -4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,5656,-1200432]	[a1,a2,a3,a4,a6]
j	207646/6561	j-invariant
L	0.98947723974896	L(r)(E,1)/r!
Ω	0.24736930993724	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	8664g6 69312dl5 51984v5 48a6	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 17328f6

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

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Quadratic twists for elliptic curve 17328f6

-4	8	-3	-19
8664g6	69312dl5	51984v5	48a6

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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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