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	2	Product of Tamagawa factors cp
Δ	-41472 = -1 · 29 · 34	Discriminant
Eigenvalues	2- 3+  2  4 -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,8,-8]	[a1,a2,a3,a4,a6]
j	97336/81	j-invariant
L	1.0010773804561	L(r)(E,1)/r!
Ω	2.0021547609122	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	96a4 192b4 288c4 2400m4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 96b4

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 96b4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
96a4	192b4	288c4	2400m4	4704bf4	11616e4	16224e4	27744bb2	34656r2	50784w2	80736c2	92256n2

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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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