Cremona's table of elliptic curves

6118 = 2 · 7 · 19 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 19- 23+	Signs for the Atkin-Lehner involutions
Class	6118d	Isogeny class
Conductor	6118	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	102825226 = 2 · 76 · 19 · 23	Discriminant
Eigenvalues	2+  1  3 7- -3  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-277,1678]	[a1,a2,a3,a4,a6]
Generators	[-16:53:1]	Generators of the group modulo torsion
j	2338337977417/102825226	j-invariant
L	4.0902919106908	L(r)(E,1)/r!
Ω	1.8680597265775	Real period
R	3.284390632026	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	48944m1 55062bt1 42826f1 116242w1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 6118d1

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	-	-3	2	-6	-	+	-3	-10	2	-6	11	3	12	-15	-10	-4	-6	-7	11	3	-15	17

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Quadratic twists for elliptic curve 6118d1

-4	-3	-7	-19
48944m1	55062bt1	42826f1	116242w1

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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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