Cremona's table of elliptic curves

2318 = 2 · 19 · 61

Field	Data	Notes
Atkin-Lehner	2- 19+ 61+	Signs for the Atkin-Lehner involutions
Class	2318c	Isogeny class
Conductor	2318	Conductor
∏ cp	34	Product of Tamagawa factors cp
deg	15232	Modular degree for the optimal curve
Δ	-34481239359488 = -1 · 217 · 19 · 614	Discriminant
Eigenvalues	2-  3  0 -1 -2  3  7 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-56535,-5167505]	[a1,a2,a3,a4,a6]
j	-19983368632718354625/34481239359488	j-invariant
L	5.2628963110246	L(r)(E,1)/r!
Ω	0.15479106797131	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18544i1 74176i1 20862e1 57950c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2318c1

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
-	3	0	-1	-2	3	7	+	3	3	-8	-2	0	0	0	-1	-9	+	-5	14	1	14	18	-16	-6

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Quadratic twists for elliptic curve 2318c1

-4	8	-3	5	-7	-19
18544i1	74176i1	20862e1	57950c1	113582h1	44042c1

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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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