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	874f	Isogeny class
Conductor	874	Conductor
∏ cp	21	Product of Tamagawa factors cp
Δ	20192896 = 27 · 193 · 23	Discriminant
Eigenvalues	2-  1  3  2 -3  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-640889,-197533063]	[a1,a2,a3,a4,a6]
j	29112011033527546515217/20192896	j-invariant
L	3.5434241560057	L(r)(E,1)/r!
Ω	0.16873448361932	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	6992j2 27968f2 7866k2 21850c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 874f2

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	3	2	-3	2	0	-	-	-3	-4	-4	6	-13	3	0	9	2	8	-12	11	-1	9	-3	17

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Quadratic twists for elliptic curve 874f2

-4	8	-3	5	-7	-11	-19	-23
6992j2	27968f2	7866k2	21850c2	42826n2	105754f2	16606h2	20102o2

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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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