Cremona's table of elliptic curves

551 = 19 · 29

Field	Data	Notes
Atkin-Lehner	19- 29-	Signs for the Atkin-Lehner involutions
Class	551a	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 -4  1 -1  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,1,-5]	[a1,a2,a3,a4,a6]
Generators	[7:15:1]	Generators of the group modulo torsion
j	357911/10469	j-invariant
L	2.4701875222305	L(r)(E,1)/r!
Ω	1.9602738232082	Real period
R	0.6300618548759	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	8816d1 35264c1 4959e1 13775d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 551a1

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	-4	1	-1	0	-	-4	-	5	10	-6	-7	7	-3	-10	-8	10	0	-12	-9	-10	2	8

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Quadratic twists for elliptic curve 551a1

-4	8	-3	5	-7	-11	13	-19	29
8816d1	35264c1	4959e1	13775d1	26999g1	66671b1	93119d1	10469b1	15979c1

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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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