Cremona's table of elliptic curves

6555 = 3 · 5 · 19 · 23

Field	Data	Notes
Atkin-Lehner	3+ 5- 19+ 23+	Signs for the Atkin-Lehner involutions
Class	6555g	Isogeny class
Conductor	6555	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1000	Modular degree for the optimal curve
Δ	-530955 = -1 · 35 · 5 · 19 · 23	Discriminant
Eigenvalues	0 3+ 5-  4  1  5  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,5,33]	[a1,a2,a3,a4,a6]
j	11239424/530955	j-invariant
L	2.2215001365823	L(r)(E,1)/r!
Ω	2.2215001365823	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	104880do1 19665o1 32775y1 124545bk1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 6555g1

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	+	-	4	1	5	4	+	+	1	10	2	9	-5	13	14	-11	12	-16	0	4	-5	4	-16	-14

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Quadratic twists for elliptic curve 6555g1

-4	-3	5	-19
104880do1	19665o1	32775y1	124545bk1

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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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