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	32	Product of Tamagawa factors cp
Δ	5114269175625 = 34 · 54 · 192 · 234	Discriminant
Eigenvalues	-1 3+ 5-  0  4  6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4405,-30550]	[a1,a2,a3,a4,a6]
Generators	[-52:273:1]	Generators of the group modulo torsion
j	9452955475239121/5114269175625	j-invariant
L	2.628663322862	L(r)(E,1)/r!
Ω	0.62452424263483	Real period
R	2.1045326533457	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	104880db4 19665s3 32775bd4 124545bl4	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 6555i3

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 6555i3

-4	-3	5	-19
104880db4	19665s3	32775bd4	124545bl4

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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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