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	10230bg	Isogeny class
Conductor	10230	Conductor
∏ cp	400	Product of Tamagawa factors cp
Δ	-1.1880175972189E+23	Discriminant
Eigenvalues	2- 3- 5- -2 11- -6  8  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5510855,-17315148075]	[a1,a2,a3,a4,a6]
j	-18508902577171306222471921/118801759721890483665900	j-invariant
L	4.3919344540704	L(r)(E,1)/r!
Ω	0.043919344540704	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	81840bz4 30690f4 51150k4 112530bf4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10230bg4

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

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Quadratic twists for elliptic curve 10230bg4

-4	-3	5	-11
81840bz4	30690f4	51150k4	112530bf4

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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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