Cremona's table of elliptic curves

25185 = 3 · 5 · 23 · 73

Field	Data	Notes
Atkin-Lehner	3- 5- 23+ 73-	Signs for the Atkin-Lehner involutions
Class	25185f	Isogeny class
Conductor	25185	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	-475326651800390625 = -1 · 34 · 58 · 232 · 734	Discriminant
Eigenvalues	-1 3- 5-  4  0  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,159140,-22419103]	[a1,a2,a3,a4,a6]
j	445719467235924048959/475326651800390625	j-invariant
L	2.5588121704212	L(r)(E,1)/r!
Ω	0.15992576065133	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	75555d3 125925h3	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 25185f3

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
-1	-	-	4	0	6	-6	-4	+	6	4	6	-6	-8	12	6	0	-2	-12	8	-	-8	-8	-6	2

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Quadratic twists for elliptic curve 25185f3

-3	5
75555d3	125925h3

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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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