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	2318d	Isogeny class
Conductor	2318	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	896	Modular degree for the optimal curve
Δ	-127193296 = -1 · 24 · 194 · 61	Discriminant
Eigenvalues	2- -2  1  1 -1  1 -8 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-120,-752]	[a1,a2,a3,a4,a6]
Generators	[14:12:1]	Generators of the group modulo torsion
j	-191202526081/127193296	j-invariant
L	3.5490564064695	L(r)(E,1)/r!
Ω	0.70037027707308	Real period
R	0.31671250574958	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	18544e1 74176c1 20862j1 57950m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2318d1

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
-	-2	1	1	-1	1	-8	-	-9	6	-8	4	1	0	12	-2	-7	+	-15	0	5	-1	-16	4	-14

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Quadratic twists for elliptic curve 2318d1

-4	8	-3	5	-7	-19
18544e1	74176c1	20862j1	57950m1	113582f1	44042b1

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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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