Cremona's table of elliptic curves

10230 = 2 · 3 · 5 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11- 31-	Signs for the Atkin-Lehner involutions
Class	10230bc	Isogeny class
Conductor	10230	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	52748437500 = 22 · 32 · 58 · 112 · 31	Discriminant
Eigenvalues	2- 3- 5+ -2 11- -4  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1091,-8475]	[a1,a2,a3,a4,a6]
Generators	[46:175:1]	Generators of the group modulo torsion
j	143622619359409/52748437500	j-invariant
L	7.0380777121895	L(r)(E,1)/r!
Ω	0.8563096583766	Real period
R	2.0547700365579	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	81840bl2 30690n2 51150i2 112530y2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10230bc2

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	-	-4	2	-6	0	10	-	-2	6	-8	2	4	6	-12	-8	-6	4	-16	4	-12	-2

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Quadratic twists for elliptic curve 10230bc2

-4	-3	5	-11
81840bl2	30690n2	51150i2	112530y2

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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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