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	25392a	Isogeny class
Conductor	25392	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	448184419057161216 = 210 · 35 · 239	Discriminant
Eigenvalues	2+ 3+  2 -2 -4 -6  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-63069672,192808566720]	[a1,a2,a3,a4,a6]
j	15043017316604/243	j-invariant
L	0.42374173970723	L(r)(E,1)/r!
Ω	0.21187086985361	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	12696p2 101568do2 76176v2 25392d2	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392a2

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	-4	-6	6	-6	-	-6	-8	8	-6	10	-4	-2	-8	8	-10	8	-10	-6	-12	18	-12

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Quadratic twists for elliptic curve 25392a2

-4	8	-3	-23
12696p2	101568do2	76176v2	25392d2

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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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