Cremona's table of elliptic curves

897 = 3 · 13 · 23

Field	Data	Notes
Atkin-Lehner	3+ 13- 23+	Signs for the Atkin-Lehner involutions
Class	897a	Isogeny class
Conductor	897	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-13490879103 = -1 · 38 · 132 · 233	Discriminant
Eigenvalues	1 3+ -4  2 -2 13-  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-97,5560]	[a1,a2,a3,a4,a6]
j	-102568953241/13490879103	j-invariant
L	1.0302057839896	L(r)(E,1)/r!
Ω	1.0302057839896	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	14352bl1 57408be1 2691h1 22425n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 897a1

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
1	+	-4	2	-2	-	2	6	+	2	4	4	-6	0	0	6	0	-2	-14	12	14	8	10	16	4

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Quadratic twists for elliptic curve 897a1

-4	8	-3	5	-7	-11	13	-23
14352bl1	57408be1	2691h1	22425n1	43953t1	108537e1	11661b1	20631b1

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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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