Cremona's table of elliptic curves

6149 = 11 · 13 · 43

Field	Data	Notes
Atkin-Lehner	11+ 13- 43+	Signs for the Atkin-Lehner involutions
Class	6149b	Isogeny class
Conductor	6149	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-79937 = -1 · 11 · 132 · 43	Discriminant
Eigenvalues	-1  3  2  4 11+ 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,6,-14]	[a1,a2,a3,a4,a6]
j	27818127/79937	j-invariant
L	3.5181919361692	L(r)(E,1)/r!
Ω	1.7590959680846	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	98384t1 55341h1 67639b1 79937c1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 6149b1

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	3	2	4	+	-	0	2	-4	-9	-4	2	6	+	12	9	6	3	10	-8	11	1	-1	4	7

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Quadratic twists for elliptic curve 6149b1

-4	-3	-11	13
98384t1	55341h1	67639b1	79937c1

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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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