Cremona's table of elliptic curves

960 = 2⁶ · 3 · 5

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5-	Signs for the Atkin-Lehner involutions
Class	960d	Isogeny class
Conductor	960	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	43200 = 26 · 33 · 52	Discriminant
Eigenvalues	2+ 3+ 5-  4  4 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-900,-10098]	[a1,a2,a3,a4,a6]
j	1261112198464/675	j-invariant
L	1.7431258039923	L(r)(E,1)/r!
Ω	0.87156290199613	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	960h1 480d2 2880m1 4800z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 960d1

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

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Quadratic twists for elliptic curve 960d1

-4	8	-3	5	-7	-11
960h1	480d2	2880m1	4800z1	47040cn1	116160cl1

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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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