Cremona's table of elliptic curves

35264 = 2⁶ · 19 · 29

Field	Data	Notes
Atkin-Lehner	2- 19+ 29+	Signs for the Atkin-Lehner involutions
Class	35264y	Isogeny class
Conductor	35264	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-171524096 = -1 · 214 · 192 · 29	Discriminant
Eigenvalues	2- -3  1 -2 -3  1  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,68,592]	[a1,a2,a3,a4,a6]
Generators	[-4:16:1] [-3:19:1]	Generators of the group modulo torsion
j	2122416/10469	j-invariant
L	5.6087629891746	L(r)(E,1)/r!
Ω	1.3000588590185	Real period
R	1.0785594341104	Regulator
r	2	Rank of the group of rational points
S	1.0000000000003	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35264n1 8816m1	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 35264y1

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	-2	-3	1	0	+	-2	+	-1	-12	10	-7	-11	-1	0	-10	-14	6	-14	13	-16	6	-8

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Quadratic twists for elliptic curve 35264y1

-4	8
35264n1	8816m1

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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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