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
deg	2048	Modular degree for the optimal curve
Δ	-21045063600 = -1 · 24 · 314 · 52 · 11	Discriminant
Eigenvalues	2+ 3- 5+  0 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,582,4417]	[a1,a2,a3,a4,a6]
Generators	[-4:45:1]	Generators of the group modulo torsion
j	1869154304/1804275	j-invariant
L	3.4100666942727	L(r)(E,1)/r!
Ω	0.79568679410365	Real period
R	1.0714224238553	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	7920c1 31680be1 1320m1 19800bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960d1

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 3960d1

-4	8	-3	5	-11
7920c1	31680be1	1320m1	19800bh1	43560bq1

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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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