Cremona's table of elliptic curves

1764 = 2² · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	1764k	Isogeny class
Conductor	1764	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1383235999488 = 28 · 38 · 77	Discriminant
Eigenvalues	2- 3-  4 7- -2  6 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16023,-778610]	[a1,a2,a3,a4,a6]
j	20720464/63	j-invariant
L	2.5465032069302	L(r)(E,1)/r!
Ω	0.42441720115503	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	7056cb2 28224cu2 588f2 44100bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1764k2

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
-	-	4	-	-2	6	-4	4	-2	2	0	2	0	-4	12	6	-8	-6	-8	-14	2	12	-4	0	2

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Quadratic twists for elliptic curve 1764k2

-4	8	-3	5	-7
7056cb2	28224cu2	588f2	44100bz2	252b2

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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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