Cremona's table of elliptic curves

18105 = 3 · 5 · 17 · 71

Field	Data	Notes
Atkin-Lehner	3- 5- 17+ 71-	Signs for the Atkin-Lehner involutions
Class	18105j	Isogeny class
Conductor	18105	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	119808	Modular degree for the optimal curve
Δ	-2724007336999875 = -1 · 36 · 53 · 174 · 713	Discriminant
Eigenvalues	0 3- 5-  5  6 -1 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,21565,2202614]	[a1,a2,a3,a4,a6]
j	1109052130784804864/2724007336999875	j-invariant
L	3.8055809036144	L(r)(E,1)/r!
Ω	0.31713174196787	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	54315c1 90525g1	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 18105j1

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
0	-	-	5	6	-1	+	-1	0	3	-4	-4	0	-4	-9	9	6	8	8	-	2	-1	0	-15	-13

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Quadratic twists for elliptic curve 18105j1

-3	5
54315c1	90525g1

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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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