Cremona's table of elliptic curves

3960 = 2³ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	3960b	Isogeny class
Conductor	3960	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	7684768080 = 24 · 38 · 5 · 114	Discriminant
Eigenvalues	2+ 3- 5+  4 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-498,713]	[a1,a2,a3,a4,a6]
j	1171019776/658845	j-invariant
L	2.2738684002745	L(r)(E,1)/r!
Ω	1.1369342001372	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	7920j1 31680bx1 1320j1 19800bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960b1

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

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Quadratic twists for elliptic curve 3960b1

-4	8	-3	5	-11
7920j1	31680bx1	1320j1	19800bg1	43560cb1

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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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