Cremona's table of elliptic curves

551 = 19 · 29

Field	Data	Notes
Atkin-Lehner	19- 29-	Signs for the Atkin-Lehner involutions
Class	551b	Isogeny class
Conductor	551	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	-10469 = -1 · 192 · 29	Discriminant
Eigenvalues	-1  1 -1  2 -3 -5  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-11,14]	[a1,a2,a3,a4,a6]
Generators	[5:7:1]	Generators of the group modulo torsion
j	-148035889/10469	j-invariant
L	1.5318935050525	L(r)(E,1)/r!
Ω	3.990219983985	Real period
R	0.19195602137237	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	8816c1 35264a1 4959d1 13775c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 551b1

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	-1	2	-3	-5	2	-	0	-	-7	2	0	-11	-9	1	8	0	-4	0	2	3	4	0	4

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Quadratic twists for elliptic curve 551b1

-4	8	-3	5	-7	-11	13	-19	29
8816c1	35264a1	4959d1	13775c1	26999k1	66671a1	93119c1	10469a1	15979b1

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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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