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	5355d	Isogeny class
Conductor	5355	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	32892576392025 = 38 · 52 · 74 · 174	Discriminant
Eigenvalues	1 3- 5+ 7+ -4  6 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-13455,536976]	[a1,a2,a3,a4,a6]
j	369543396484081/45120132225	j-invariant
L	1.2675210372716	L(r)(E,1)/r!
Ω	0.63376051863578	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	85680ek3 1785m3 26775bq3 37485bt3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5355d4

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	6	+	-4	0	-6	-8	-2	6	4	0	10	-12	-2	12	-16	10	16	-4	14	-14

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Quadratic twists for elliptic curve 5355d4

-4	-3	5	-7	17
85680ek3	1785m3	26775bq3	37485bt3	91035br3

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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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