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	3960d	Isogeny class
Conductor	3960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4800541416929280 = -1 · 211 · 37 · 5 · 118	Discriminant
Eigenvalues	2+ 3- 5+  0 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-38163,4398478]	[a1,a2,a3,a4,a6]
Generators	[246:3146:1]	Generators of the group modulo torsion
j	-4117122162722/3215383215	j-invariant
L	3.4100666942727	L(r)(E,1)/r!
Ω	0.39784339705182	Real period
R	2.1428448477106	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7920c6 31680be5 1320m6 19800bh6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960d6

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

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Quadratic twists for elliptic curve 3960d6

-4	8	-3	5	-11
7920c6	31680be5	1320m6	19800bh6	43560bq5

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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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