Cremona's table of elliptic curves

96 = 2⁵ · 3

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Class	96a	Isogeny class
Conductor	96	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	1536 = 29 · 3	Discriminant
Eigenvalues	2+ 3-  2 -4  4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-32,60]	[a1,a2,a3,a4,a6]
j	7301384/3	j-invariant
L	1.1714200841468	L(r)(E,1)/r!
Ω	4.6856803365871	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	96b2 192a3 288b2 2400u3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 96a3

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	4	-2	-6	-4	0	2	4	-2	2	4	8	10	-4	6	4	-16	-6	4	12	10	-14

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Quadratic twists for elliptic curve 96a3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
96b2	192a3	288b2	2400u3	4704f2	11616ba2	16224v3	27744f4	34656x4	50784q4	80736j4	92256d4

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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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