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	2	Product of Tamagawa factors cp
Δ	12288 = 212 · 3	Discriminant
Eigenvalues	2+ 3-  2 -4  4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-17,-33]	[a1,a2,a3,a4,a6]
j	140608/3	j-invariant
L	1.1714200841468	L(r)(E,1)/r!
Ω	2.3428401682935	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	96b3 192a1 288b3 2400u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 96a2

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 96a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
96b3	192a1	288b3	2400u2	4704f3	11616ba3	16224v2	27744f3	34656x3	50784q3	80736j3	92256d3

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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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