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	35280dt	Isogeny class
Conductor	35280	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	338688	Modular degree for the optimal curve
Δ	-275417656786944000 = -1 · 219 · 36 · 53 · 78	Discriminant
Eigenvalues	2- 3- 5+ 7+  3 -1  6  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,116277,20115578]	[a1,a2,a3,a4,a6]
Generators	[6031:469134:1]	Generators of the group modulo torsion
j	10100279/16000	j-invariant
L	5.8543261439943	L(r)(E,1)/r!
Ω	0.21072472510676	Real period
R	6.9454665809004	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4410ba1 3920z1 35280fp1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 35280dt1

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	6	1	9	-6	-8	-7	-3	-2	9	-9	0	8	-8	0	-4	10	0	-6	-10

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Quadratic twists for elliptic curve 35280dt1

-4	-3	-7
4410ba1	3920z1	35280fp1

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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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