Cremona's table of elliptic curves

927 = 3² · 103

Field	Data	Notes
Atkin-Lehner	3- 103-	Signs for the Atkin-Lehner involutions
Class	927a	Isogeny class
Conductor	927	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	-18246141 = -1 · 311 · 103	Discriminant
Eigenvalues	1 3-  1 -2  2 -5  0 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-54,-243]	[a1,a2,a3,a4,a6]
Generators	[12:21:1]	Generators of the group modulo torsion
j	-24137569/25029	j-invariant
L	2.8850974564224	L(r)(E,1)/r!
Ω	0.84484000332606	Real period
R	1.7074815616353	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14832h1 59328r1 309a1 23175j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 927a1

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	-	1	-2	2	-5	0	-8	-1	2	5	2	-8	-11	2	-10	11	-5	11	-16	12	6	-1	6	-7

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Quadratic twists for elliptic curve 927a1

-4	8	-3	5	-7	-11	-103
14832h1	59328r1	309a1	23175j1	45423g1	112167o1	95481d1

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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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