Cremona's table of elliptic curves

6270 = 2 · 3 · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11- 19+	Signs for the Atkin-Lehner involutions
Class	6270r	Isogeny class
Conductor	6270	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	1.4811215278277E+20	Discriminant
Eigenvalues	2- 3- 5- -2 11- -6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4895705,-4128462873]	[a1,a2,a3,a4,a6]
Generators	[7089642:56038989:2744]	Generators of the group modulo torsion
j	12976854634417729473922321/148112152782766327650	j-invariant
L	6.8740037014054	L(r)(E,1)/r!
Ω	0.10156529336107	Real period
R	13.536127300826	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	50160bl4 18810d4 31350f4 68970bh4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6270r4

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

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Quadratic twists for elliptic curve 6270r4

-4	-3	5	-11	-19
50160bl4	18810d4	31350f4	68970bh4	119130k4

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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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