Cremona's table of elliptic curves

551 = 19 · 29

Field	Data	Notes
Atkin-Lehner	19- 29-	Signs for the Atkin-Lehner involutions
Class	551c	Isogeny class
Conductor	551	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	672	Modular degree for the optimal curve
Δ	-751746132499 = -1 · 197 · 292	Discriminant
Eigenvalues	2 -2 -1 -1 -3 -2 -1 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-2376,-61851]	[a1,a2,a3,a4,a6]
Generators	[1018:10465:8]	Generators of the group modulo torsion
j	-1484040633094144/751746132499	j-invariant
L	2.6025453384548	L(r)(E,1)/r!
Ω	0.33389432705647	Real period
R	0.55675128488325	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	8816g1 35264g1 4959g1 13775f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 551c1

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
2	-2	-1	-1	-3	-2	-1	-	0	-	2	-4	-6	1	3	4	14	-3	2	0	11	-12	4	0	-8

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Quadratic twists for elliptic curve 551c1

-4	8	-3	5	-7	-11	13	-19	29
8816g1	35264g1	4959g1	13775f1	26999l1	66671d1	93119g1	10469d1	15979e1

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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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