Cremona's table of elliptic curves

35280 = 2⁴ · 3² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	35280ft	Isogeny class
Conductor	35280	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	20483850240000 = 217 · 36 · 54 · 73	Discriminant
Eigenvalues	2- 3- 5- 7- -4 -2  8 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-171507,27337394]	[a1,a2,a3,a4,a6]
Generators	[233:160:1]	Generators of the group modulo torsion
j	544737993463/20000	j-invariant
L	5.6745869881449	L(r)(E,1)/r!
Ω	0.639227365372	Real period
R	0.55482869784946	Regulator
r	1	Rank of the group of rational points
S	0.99999999999991	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4410s2 3920w2 35280en2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 35280ft2

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

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Quadratic twists for elliptic curve 35280ft2

-4	-3	-7
4410s2	3920w2	35280en2

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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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