Cremona's table of elliptic curves

25872 = 2⁴ · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	25872w	Isogeny class
Conductor	25872	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	343033169683792896 = 210 · 34 · 710 · 114	Discriminant
Eigenvalues	2+ 3-  2 7- 11-  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-181512,-9647100]	[a1,a2,a3,a4,a6]
j	5489767279588/2847396321	j-invariant
L	3.9164793442458	L(r)(E,1)/r!
Ω	0.24477995901536	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12936n3 103488fm4 77616bs4 3696g3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 25872w4

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

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Quadratic twists for elliptic curve 25872w4

-4	8	-3	-7
12936n3	103488fm4	77616bs4	3696g3

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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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