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	874c	Isogeny class
Conductor	874	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	3496 = 23 · 19 · 23	Discriminant
Eigenvalues	2+ -1 -1 -2  5  6 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-38,76]	[a1,a2,a3,a4,a6]
Generators	[3:-1:1]	Generators of the group modulo torsion
j	6321363049/3496	j-invariant
L	1.4639454721545	L(r)(E,1)/r!
Ω	4.394366045795	Real period
R	0.3331414490505	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	6992i1 27968c1 7866s1 21850g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 874c1

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
+	-1	-1	-2	5	6	-4	-	-	-9	-8	8	-2	-5	-9	8	-9	2	-4	-16	11	-11	1	-13	-1

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Quadratic twists for elliptic curve 874c1

-4	8	-3	5	-7	-11	-19	-23
6992i1	27968c1	7866s1	21850g1	42826h1	105754o1	16606p1	20102e1

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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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