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
Δ	32713753576 = 23 · 72 · 193 · 233	Discriminant
Eigenvalues	2+  1  3 7- -3  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3462,-78192]	[a1,a2,a3,a4,a6]
Generators	[-36:27:1]	Generators of the group modulo torsion
j	4586955865263577/32713753576	j-invariant
L	4.0902919106908	L(r)(E,1)/r!
Ω	0.62268657552584	Real period
R	1.094796877342	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	48944m2 55062bt2 42826f2 116242w2	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 6118d2

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 6118d2

-4	-3	-7	-19
48944m2	55062bt2	42826f2	116242w2

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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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