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	8	Product of Tamagawa factors cp
Δ	9775715445 = 34 · 5 · 176	Discriminant
Eigenvalues	-1 3- 5+  0  4 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-624246,-189889425]	[a1,a2,a3,a4,a6]
j	1114544804970241/405	j-invariant
L	1.3587845371997	L(r)(E,1)/r!
Ω	0.16984806714996	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	69360cc8 13005n7 21675c8 15a5	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4335d7

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 4335d7

-4	-3	5	17
69360cc8	13005n7	21675c8	15a5

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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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