Cremona's table of elliptic curves

25392 = 2⁴ · 3 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 3- 23-	Signs for the Atkin-Lehner involutions
Class	25392l	Isogeny class
Conductor	25392	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-336138314292870912 = -1 · 28 · 36 · 239	Discriminant
Eigenvalues	2+ 3-  2 -2  0  2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-44612,28114332]	[a1,a2,a3,a4,a6]
Generators	[154:4992:1]	Generators of the group modulo torsion
j	-21296/729	j-invariant
L	6.9606951202014	L(r)(E,1)/r!
Ω	0.25349036317315	Real period
R	4.5765678775507	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	12696l2 101568cs2 76176u2 25392p2	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392l2

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	-2	0	2	-6	-2	-	-6	0	4	2	6	4	6	0	-4	10	-8	-10	10	16	6	4

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Quadratic twists for elliptic curve 25392l2

-4	8	-3	-23
12696l2	101568cs2	76176u2	25392p2

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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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