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	10230bb	Isogeny class
Conductor	10230	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	-2.1528598354265E+20	Discriminant
Eigenvalues	2- 3- 5+  2 11+  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1981101,-1284785919]	[a1,a2,a3,a4,a6]
j	-859891344442433646036049/215285983542654750000	j-invariant
L	4.5216027206784	L(r)(E,1)/r!
Ω	0.0628000377872	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	81840bs4 30690t4 51150c4 112530ba4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10230bb4

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

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Quadratic twists for elliptic curve 10230bb4

-4	-3	5	-11
81840bs4	30690t4	51150c4	112530ba4

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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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