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	3146f	Isogeny class
Conductor	3146	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	2992159246382006272 = 230 · 118 · 13	Discriminant
Eigenvalues	2+  1  0  2 11- 13-  3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-579956,-148279694]	[a1,a2,a3,a4,a6]
Generators	[-43162155:431201051:91125]	Generators of the group modulo torsion
j	100638995169625/13958643712	j-invariant
L	3.070032937012	L(r)(E,1)/r!
Ω	0.1745951682762	Real period
R	8.7918611016639	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	25168bl2 100672n2 28314bz2 78650bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3146f2

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	2	-	-	3	-4	-9	3	-4	-4	-6	-1	0	9	6	5	2	-12	-10	-13	12	0	-4

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Quadratic twists for elliptic curve 3146f2

-4	8	-3	5	-11	13
25168bl2	100672n2	28314bz2	78650bw2	3146k2	40898bi2

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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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