Cremona's table of elliptic curves

3458 = 2 · 7 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 7- 13- 19-	Signs for the Atkin-Lehner involutions
Class	3458c	Isogeny class
Conductor	3458	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-13720355796772352 = -1 · 29 · 7 · 139 · 192	Discriminant
Eigenvalues	2+  1  0 7-  3 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-459791,-120172478]	[a1,a2,a3,a4,a6]
j	-10749883374191785083625/13720355796772352	j-invariant
L	1.649942576193	L(r)(E,1)/r!
Ω	0.091663476455166	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	27664k3 110656o3 31122bd3 86450bb3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3458c3

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	-	3	-	-6	-	3	0	5	11	9	8	-9	6	0	-1	5	-6	11	-1	-6	6	-1

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Quadratic twists for elliptic curve 3458c3

-4	8	-3	5	-7	13	-19
27664k3	110656o3	31122bd3	86450bb3	24206b3	44954n3	65702x3

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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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