Cremona's table of elliptic curves

25440 = 2⁵ · 3 · 5 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 53-	Signs for the Atkin-Lehner involutions
Class	25440t	Isogeny class
Conductor	25440	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2588774400 = -1 · 212 · 32 · 52 · 532	Discriminant
Eigenvalues	2+ 3- 5- -2 -4  2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-305,-3297]	[a1,a2,a3,a4,a6]
j	-768575296/632025	j-invariant
L	2.2070730837104	L(r)(E,1)/r!
Ω	0.5517682709276	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	25440h2 50880bz1 76320bf2 127200bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25440t2

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	-4	2	-2	-2	8	-6	-2	2	6	6	-2	-	0	-14	4	-2	-6	2	-4	-10	18

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Quadratic twists for elliptic curve 25440t2

-4	8	-3	5
25440h2	50880bz1	76320bf2	127200bw2

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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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