Cremona's table of elliptic curves

5355 = 3² · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 17+	Signs for the Atkin-Lehner involutions
Class	5355g	Isogeny class
Conductor	5355	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	19735545835215 = 39 · 5 · 74 · 174	Discriminant
Eigenvalues	1 3- 5+ 7- -4  2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-9135,-257054]	[a1,a2,a3,a4,a6]
Generators	[-70:224:1]	Generators of the group modulo torsion
j	115650783909361/27072079335	j-invariant
L	4.3479283856161	L(r)(E,1)/r!
Ω	0.49659317203611	Real period
R	1.0944392287426	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	85680dp4 1785h3 26775bg4 37485bs4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5355g3

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
1	-	+	-	-4	2	+	8	4	-2	-8	2	6	4	-4	-6	-12	-2	-12	8	-14	4	0	-14	2

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Quadratic twists for elliptic curve 5355g3

-4	-3	5	-7	17
85680dp4	1785h3	26775bg4	37485bs4	91035bf4

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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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