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	864	Product of Tamagawa factors cp
Δ	-419371211696025600 = -1 · 212 · 318 · 52 · 11 · 312	Discriminant
Eigenvalues	2- 3- 5+  2 11+  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,176739,12379185]	[a1,a2,a3,a4,a6]
j	610549301534093096111/419371211696025600	j-invariant
L	4.5216027206784	L(r)(E,1)/r!
Ω	0.1884001133616	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	81840bs2 30690t2 51150c2 112530ba2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10230bb2

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 10230bb2

-4	-3	5	-11
81840bs2	30690t2	51150c2	112530ba2

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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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