Cremona's table of elliptic curves

105966 = 2 · 3² · 7 · 29²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 29+	Signs for the Atkin-Lehner involutions
Class	105966cb	Isogeny class
Conductor	105966	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3870720	Modular degree for the optimal curve
Δ	-4503064133579730012 = -1 · 22 · 38 · 73 · 298	Discriminant
Eigenvalues	2- 3-  4 7+  4  0  0 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,340447,67575309]	[a1,a2,a3,a4,a6]
Generators	[124460400791814560:-16371458964159948999:7256313856000]	Generators of the group modulo torsion
j	10063705679/10384668	j-invariant
L	15.123463131516	L(r)(E,1)/r!
Ω	0.16185008143708	Real period
R	23.360295823227	Regulator
r	1	Rank of the group of rational points
S	1.0000000003955	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35322f1 3654j1	Quadratic twists by: -3 29

Hecke Eigenvalues for elliptic curve 105966cb1

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	0	0	-8	-8	+	2	6	-4	-12	2	14	6	-6	0	8	-8	-16	-6	-12	12

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Quadratic twists for elliptic curve 105966cb1

-3	29
35322f1	3654j1

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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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