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	6270l	Isogeny class
Conductor	6270	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	64512	Modular degree for the optimal curve
Δ	9522562500000000 = 28 · 36 · 512 · 11 · 19	Discriminant
Eigenvalues	2+ 3- 5- -4 11+  2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-86508,8587306]	[a1,a2,a3,a4,a6]
j	71595431380957421881/9522562500000000	j-invariant
L	1.5762141712509	L(r)(E,1)/r!
Ω	0.39405354281273	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	50160bo1 18810z1 31350bi1 68970cv1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6270l1

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

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Quadratic twists for elliptic curve 6270l1

-4	-3	5	-11	-19
50160bo1	18810z1	31350bi1	68970cv1	119130bi1

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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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