Cremona's table of elliptic curves

96 = 2⁵ · 3

Field	Data	Notes
Atkin-Lehner	2- 3+	Signs for the Atkin-Lehner involutions
Class	96b	Isogeny class
Conductor	96	Conductor
∏ cp	4	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	1.0010773804561	L(r)(E,1)/r!
Ω	4.0043095218244	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	96a2 192b1 288c2 2400m3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 96b3

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 96b3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
96a2	192b1	288c2	2400m3	4704bf2	11616e2	16224e3	27744bb3	34656r3	50784w3	80736c3	92256n3

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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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