Cremona's table of elliptic curves

8118 = 2 · 3² · 11 · 41

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 41-	Signs for the Atkin-Lehner involutions
Class	8118d	Isogeny class
Conductor	8118	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	893080723851980928 = 27 · 38 · 1110 · 41	Discriminant
Eigenvalues	2+ 3-  4  2 11+ -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-342495,62412493]	[a1,a2,a3,a4,a6]
Generators	[59845:323737:125]	Generators of the group modulo torsion
j	6094802039817492721/1225076438754432	j-invariant
L	4.1872435198781	L(r)(E,1)/r!
Ω	0.26559856919157	Real period
R	7.8826545124531	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	64944by2 2706n2 89298ci2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 8118d2

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
+	-	4	2	+	-2	-2	-8	-8	-2	0	-10	-	2	6	2	6	-4	-4	10	-14	2	16	-8	10

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Quadratic twists for elliptic curve 8118d2

-4	-3	-11
64944by2	2706n2	89298ci2

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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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