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	25872ct	Isogeny class
Conductor	25872	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-1.0541463754092E+19	Discriminant
Eigenvalues	2- 3-  0 7- 11- -2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-645248,-253594188]	[a1,a2,a3,a4,a6]
Generators	[1066:16464:1]	Generators of the group modulo torsion
j	-61653281712625/21875235228	j-invariant
L	6.6032649111285	L(r)(E,1)/r!
Ω	0.082749219596207	Real period
R	1.662469080109	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3234p3 103488fc3 77616eu3 3696n3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 25872ct3

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
-	-	0	-	-	-2	0	2	0	-6	2	2	0	4	-6	-6	0	-2	4	12	4	-8	6	6	-2

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Quadratic twists for elliptic curve 25872ct3

-4	8	-3	-7
3234p3	103488fc3	77616eu3	3696n3

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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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