Cremona's table of elliptic curves

3146 = 2 · 11² · 13

Field	Data	Notes
Atkin-Lehner	2- 11- 13+	Signs for the Atkin-Lehner involutions
Class	3146n	Isogeny class
Conductor	3146	Conductor
∏ cp	60	Product of Tamagawa factors cp
Δ	-1004447989202944 = -1 · 215 · 119 · 13	Discriminant
Eigenvalues	2- -2  3  1 11- 13+ -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,7076,1508112]	[a1,a2,a3,a4,a6]
Generators	[164:2580:1]	Generators of the group modulo torsion
j	22117051943/566984704	j-invariant
L	4.255892219837	L(r)(E,1)/r!
Ω	0.37065517358076	Real period
R	0.19136799390129	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	25168bc2 100672bv2 28314x2 78650t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3146n2

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
-	-2	3	1	-	+	-6	-8	-3	-9	2	-10	-9	1	0	6	-3	7	-7	12	1	4	0	12	-4

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Quadratic twists for elliptic curve 3146n2

-4	8	-3	5	-11	13
25168bc2	100672bv2	28314x2	78650t2	286a2	40898u2

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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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