Cremona's table of elliptic curves

106560 = 2⁶ · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 37+	Signs for the Atkin-Lehner involutions
Class	106560dw	Isogeny class
Conductor	106560	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	3317760	Modular degree for the optimal curve
Δ	-1.570588035593E+20	Discriminant
Eigenvalues	2- 3+ 5-  3 -1 -1  1  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3989292,3125556176]	[a1,a2,a3,a4,a6]
Generators	[1162:7680:1]	Generators of the group modulo torsion
j	-991990479802737267/22190066240000	j-invariant
L	8.5196901365216	L(r)(E,1)/r!
Ω	0.18209047631427	Real period
R	1.4621320217201	Regulator
r	1	Rank of the group of rational points
S	1.0000000018665	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	106560p1 26640v1 106560dn1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 106560dw1

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
-	+	-	3	-1	-1	1	1	-5	4	4	+	-10	-12	0	9	14	-2	-4	8	-15	14	-17	-7	-8

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Quadratic twists for elliptic curve 106560dw1

-4	8	-3
106560p1	26640v1	106560dn1

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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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