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	6149c	Isogeny class
Conductor	6149	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4800	Modular degree for the optimal curve
Δ	-580902179 = -1 · 11 · 134 · 432	Discriminant
Eigenvalues	2  1  3 -4 11+ 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-384,2995]	[a1,a2,a3,a4,a6]
Generators	[170:555:8]	Generators of the group modulo torsion
j	-6278383931392/580902179	j-invariant
L	9.0186302535953	L(r)(E,1)/r!
Ω	1.5966858009188	Real period
R	0.70604296790933	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	98384q1 55341k1 67639a1 79937g1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 6149c1

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	1	3	-4	+	-	-6	4	-1	-10	3	1	-8	-	0	2	5	0	-3	-9	0	-8	6	-11	1

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Quadratic twists for elliptic curve 6149c1

-4	-3	-11	13
98384q1	55341k1	67639a1	79937g1

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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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