Cremona's table of elliptic curves

6498 = 2 · 3² · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3- 19-	Signs for the Atkin-Lehner involutions
Class	6498l	Isogeny class
Conductor	6498	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-134742528 = -1 · 29 · 36 · 192	Discriminant
Eigenvalues	2+ 3-  0 -4 -3 -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-837,-9131]	[a1,a2,a3,a4,a6]
Generators	[366:1547:8]	Generators of the group modulo torsion
j	-246579625/512	j-invariant
L	2.4479343415629	L(r)(E,1)/r!
Ω	0.44372085362198	Real period
R	5.516834112215	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	51984cm2 722f2 6498s2	Quadratic twists by: -4 -3 -19

Hecke Eigenvalues for elliptic curve 6498l2

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	-3	-2	6	-	6	0	-2	10	9	-4	0	6	-9	-4	7	-6	-1	4	-3	6	-17

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Quadratic twists for elliptic curve 6498l2

-4	-3	-19
51984cm2	722f2	6498s2

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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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