Cremona's table of elliptic curves

544 = 2⁵ · 17

Field	Data	Notes
Atkin-Lehner	2+ 17-	Signs for the Atkin-Lehner involutions
Class	544b	Isogeny class
Conductor	544	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	32	Modular degree for the optimal curve
Δ	1088 = 26 · 17	Discriminant
Eigenvalues	2+  2  2  2 -2  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-22,48]	[a1,a2,a3,a4,a6]
j	19248832/17	j-invariant
L	2.436176540234	L(r)(E,1)/r!
Ω	4.8723530804679	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	544c1 1088n2 4896n1 13600r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 544b1

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	2	-2	2	-	-4	2	2	-10	10	2	-4	0	6	-4	2	16	-10	-6	-6	4	6	-14

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Quadratic twists for elliptic curve 544b1

-4	8	-3	5	-7	-11	13	17
544c1	1088n2	4896n1	13600r1	26656c1	65824i1	91936o1	9248c1

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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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