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	6555i	Isogeny class
Conductor	6555	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-334779462076275 = -1 · 32 · 52 · 19 · 238	Discriminant
Eigenvalues	-1 3+ 5-  0  4  6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,16970,-218650]	[a1,a2,a3,a4,a6]
Generators	[43:748:1]	Generators of the group modulo torsion
j	540465080745278879/334779462076275	j-invariant
L	2.628663322862	L(r)(E,1)/r!
Ω	0.31226212131742	Real period
R	4.2090653066914	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	104880db5 19665s6 32775bd5 124545bl5	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 6555i6

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	+	-	0	4	6	2	-	+	-10	-8	-10	2	4	0	-2	-12	-2	-12	0	-6	0	-12	10	-14

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Quadratic twists for elliptic curve 6555i6

-4	-3	5	-19
104880db5	19665s6	32775bd5	124545bl5

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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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