Cremona's table of elliptic curves

923 = 13 · 71

Field	Data	Notes
Atkin-Lehner	13+ 71-	Signs for the Atkin-Lehner involutions
Class	923a	Isogeny class
Conductor	923	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	90	Modular degree for the optimal curve
Δ	-155987 = -1 · 133 · 71	Discriminant
Eigenvalues	0  3  2  0  0 13+  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-4,19]	[a1,a2,a3,a4,a6]
j	-7077888/155987	j-invariant
L	2.7221586012227	L(r)(E,1)/r!
Ω	2.7221586012227	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14768a1 59072a1 8307a1 23075c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 923a1

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
0	3	2	0	0	+	0	4	2	1	7	-8	-5	1	5	0	7	4	-13	-	4	-15	2	-6	2

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Quadratic twists for elliptic curve 923a1

-4	8	-3	5	-7	-11	13	-71
14768a1	59072a1	8307a1	23075c1	45227m1	111683f1	11999a1	65533c1

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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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