Cremona's table of elliptic curves

9408 = 2⁶ · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7-	Signs for the Atkin-Lehner involutions
Class	9408p	Isogeny class
Conductor	9408	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	7771926822912 = 220 · 32 · 77	Discriminant
Eigenvalues	2+ 3+ -2 7-  4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4214849,-3329185215]	[a1,a2,a3,a4,a6]
j	268498407453697/252	j-invariant
L	1.6858697718184	L(r)(E,1)/r!
Ω	0.10536686073865	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9408db4 294c3 28224cb4 1344g4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9408p3

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

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Quadratic twists for elliptic curve 9408p3

-4	8	-3	-7
9408db4	294c3	28224cb4	1344g4

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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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