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	6555h	Isogeny class
Conductor	6555	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	21600	Modular degree for the optimal curve
Δ	-63372465871875 = -1 · 35 · 55 · 193 · 233	Discriminant
Eigenvalues	-1 3+ 5-  3  5 -5 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-12135,-646488]	[a1,a2,a3,a4,a6]
j	-197626550799590641/63372465871875	j-invariant
L	1.1188886599965	L(r)(E,1)/r!
Ω	0.2237777319993	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	104880dl1 19665p1 32775z1 124545bm1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 6555h1

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	+	-	3	5	-5	-4	+	+	-5	0	8	-2	4	11	5	-7	-2	12	1	-8	15	6	-6	-4

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Quadratic twists for elliptic curve 6555h1

-4	-3	5	-19
104880dl1	19665p1	32775z1	124545bm1

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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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