Cremona's table of elliptic curves

4335 = 3 · 5 · 17²

Field	Data	Notes
Atkin-Lehner	3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	4335d	Isogeny class
Conductor	4335	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1221964430625 = 34 · 54 · 176	Discriminant
Eigenvalues	-1 3- 5+  0  4 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2896,-27985]	[a1,a2,a3,a4,a6]
j	111284641/50625	j-invariant
L	1.3587845371997	L(r)(E,1)/r!
Ω	0.67939226859985	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	69360cc3 13005n4 21675c3 15a1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4335d3

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

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Quadratic twists for elliptic curve 4335d3

-4	-3	5	17
69360cc3	13005n4	21675c3	15a1

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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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