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	25872z	Isogeny class
Conductor	25872	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	103100878457837568 = 211 · 38 · 78 · 113	Discriminant
Eigenvalues	2+ 3-  4 7- 11-  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2773416,-1778607468]	[a1,a2,a3,a4,a6]
j	9791533777258802/427901859	j-invariant
L	5.6154965351408	L(r)(E,1)/r!
Ω	0.11698951114877	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12936d2 103488fu2 77616bz2 3696h2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 25872z2

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

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Quadratic twists for elliptic curve 25872z2

-4	8	-3	-7
12936d2	103488fu2	77616bz2	3696h2

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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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