Cremona's table of elliptic curves

3354 = 2 · 3 · 13 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 43+	Signs for the Atkin-Lehner involutions
Class	3354f	Isogeny class
Conductor	3354	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	2400	Modular degree for the optimal curve
Δ	-9069216 = -1 · 25 · 3 · 133 · 43	Discriminant
Eigenvalues	2- 3+ -3  2 -4 13+  4  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2347,-44743]	[a1,a2,a3,a4,a6]
j	-1429797541657393/9069216	j-invariant
L	1.7147869190376	L(r)(E,1)/r!
Ω	0.34295738380752	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	26832v1 107328bj1 10062e1 83850y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3354f1

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	2	-4	+	4	1	-1	0	-7	8	7	+	4	-2	-3	3	8	-3	13	14	9	-10	8

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Quadratic twists for elliptic curve 3354f1

-4	8	-3	5	13
26832v1	107328bj1	10062e1	83850y1	43602e1

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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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