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	6118l	Isogeny class
Conductor	6118	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-958213215898316 = -1 · 22 · 7 · 19 · 239	Discriminant
Eigenvalues	2-  1 -3 7-  0  5  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-31717,-2637971]	[a1,a2,a3,a4,a6]
j	-3528587363533685713/958213215898316	j-invariant
L	3.174806342715	L(r)(E,1)/r!
Ω	0.17637813015083	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	48944n3 55062v3 42826m3 116242j3	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 6118l3

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	-	0	5	3	-	+	6	-4	-7	-6	8	0	9	9	-1	-4	6	2	-1	12	6	8

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Quadratic twists for elliptic curve 6118l3

-4	-3	-7	-19
48944n3	55062v3	42826m3	116242j3

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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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