Cremona's table of elliptic curves

35520 = 2⁶ · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 37+	Signs for the Atkin-Lehner involutions
Class	35520bz	Isogeny class
Conductor	35520	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-8290688532480 = -1 · 215 · 33 · 5 · 374	Discriminant
Eigenvalues	2- 3+ 5- -4 -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,3935,-102143]	[a1,a2,a3,a4,a6]
Generators	[87:944:1]	Generators of the group modulo torsion
j	205587930808/253011735	j-invariant
L	3.2791041546609	L(r)(E,1)/r!
Ω	0.3945211269255	Real period
R	4.1558029860327	Regulator
r	1	Rank of the group of rational points
S	1.0000000000003	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35520cx3 17760m4 106560en3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 35520bz3

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

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Quadratic twists for elliptic curve 35520bz3

-4	8	-3
35520cx3	17760m4	106560en3

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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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