Cremona's table of elliptic curves

1763 = 41 · 43

Field	Data	Notes
Atkin-Lehner	41+ 43-	Signs for the Atkin-Lehner involutions
Class	1763c	Isogeny class
Conductor	1763	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	108	Modular degree for the optimal curve
Δ	-1763 = -1 · 41 · 43	Discriminant
Eigenvalues	2 -1  0  3 -2  6  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,2,1]	[a1,a2,a3,a4,a6]
j	512000/1763	j-invariant
L	3.3389032492184	L(r)(E,1)/r!
Ω	3.3389032492184	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	28208d1 112832c1 15867i1 44075b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1763c1

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
2	-1	0	3	-2	6	0	7	7	1	5	-2	+	-	12	4	8	-10	-4	-9	14	4	-15	6	-4

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Quadratic twists for elliptic curve 1763c1

-4	8	-3	5	-7	41	-43
28208d1	112832c1	15867i1	44075b1	86387g1	72283d1	75809i1

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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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