Cremona's table of elliptic curves

15870 = 2 · 3 · 5 · 23²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	15870bi	Isogeny class
Conductor	15870	Conductor
∏ cp	390	Product of Tamagawa factors cp
deg	13777920	Modular degree for the optimal curve
Δ	-1.5981184638228E+27	Discriminant
Eigenvalues	2- 3- 5+  3  5  0 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-679630116,-7085668316400]	[a1,a2,a3,a4,a6]
j	-443321577260160665089/20407334400000000	j-invariant
L	5.7504257633686	L(r)(E,1)/r!
Ω	0.014744681444535	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	126960bl1 47610bb1 79350k1 15870bm1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 15870bi1

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
-	-	+	3	5	0	-6	4	-	-3	7	0	4	10	4	-11	-15	4	4	-10	5	9	11	10	7

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Quadratic twists for elliptic curve 15870bi1

-4	-3	5	-23
126960bl1	47610bb1	79350k1	15870bm1

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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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