Cremona's table of elliptic curves

874 = 2 · 19 · 23

Field	Data	Notes
Atkin-Lehner	2+ 19+ 23-	Signs for the Atkin-Lehner involutions
Class	874a	Isogeny class
Conductor	874	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	315514 = 2 · 193 · 23	Discriminant
Eigenvalues	2+  3  1  2 -1 -2  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-19,-13]	[a1,a2,a3,a4,a6]
j	781229961/315514	j-invariant
L	2.3626280615634	L(r)(E,1)/r!
Ω	2.3626280615634	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	6992t1 27968w1 7866q1 21850f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 874a1

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	1	2	-1	-2	4	+	-	-1	0	-4	6	1	3	-4	3	-2	-16	-12	3	-9	11	-3	9

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Quadratic twists for elliptic curve 874a1

-4	8	-3	5	-7	-11	-19	-23
6992t1	27968w1	7866q1	21850f1	42826l1	105754w1	16606s1	20102m1

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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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