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	25872cs	Isogeny class
Conductor	25872	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	931306984194048 = 214 · 3 · 76 · 115	Discriminant
Eigenvalues	2- 3-  4 7- 11+ -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7890976,-8534500108]	[a1,a2,a3,a4,a6]
j	112763292123580561/1932612	j-invariant
L	4.5038806581296	L(r)(E,1)/r!
Ω	0.090077613162592	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	25	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3234s3 103488gu3 77616gw3 528f3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 25872cs3

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

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Quadratic twists for elliptic curve 25872cs3

-4	8	-3	-7
3234s3	103488gu3	77616gw3	528f3

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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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