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	6270o	Isogeny class
Conductor	6270	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-2534906137500 = -1 · 22 · 36 · 55 · 114 · 19	Discriminant
Eigenvalues	2- 3- 5+  2 11+ -2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-941,77325]	[a1,a2,a3,a4,a6]
j	-92155535561809/2534906137500	j-invariant
L	4.0786188354825	L(r)(E,1)/r!
Ω	0.67976980591375	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	50160bh1 18810n1 31350c1 68970w1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6270o1

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	+	-2	0	-	-4	2	10	-2	12	0	4	10	2	-6	4	12	2	-2	6	12	-18

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Quadratic twists for elliptic curve 6270o1

-4	-3	5	-11	-19
50160bh1	18810n1	31350c1	68970w1	119130d1

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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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