Cremona's table of elliptic curves

2023 = 7 · 17²

Field	Data	Notes
Atkin-Lehner	7+ 17-	Signs for the Atkin-Lehner involutions
Class	2023a	Isogeny class
Conductor	2023	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	7344	Modular degree for the optimal curve
Δ	2392684802263 = 73 · 178	Discriminant
Eigenvalues	-1  3  4 7+  0 -2 17- -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3378,-12206]	[a1,a2,a3,a4,a6]
j	610929/343	j-invariant
L	2.693970679902	L(r)(E,1)/r!
Ω	0.67349266997551	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	32368bl1 129472x1 18207c1 50575u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2023a1

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	3	4	+	0	-2	-	-7	4	3	7	10	0	-2	3	-3	-9	8	-8	2	6	6	-1	-8	2

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Quadratic twists for elliptic curve 2023a1

-4	8	-3	5	-7	17
32368bl1	129472x1	18207c1	50575u1	14161d1	2023b1

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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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