Cremona's table of elliptic curves

5054 = 2 · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2- 7- 19+	Signs for the Atkin-Lehner involutions
Class	5054b	Isogeny class
Conductor	5054	Conductor
∏ cp	105	Product of Tamagawa factors cp
Δ	-4.0848554785164E+21	Discriminant
Eigenvalues	2-  0  1 7- -2 -5  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-27347262,-55124114227]	[a1,a2,a3,a4,a6]
Generators	[9657:757603:1]	Generators of the group modulo torsion
j	-133179212896925841/240518168576	j-invariant
L	5.6836417881674	L(r)(E,1)/r!
Ω	0.033006090918458	Real period
R	1.6399979605522	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	40432m2 45486n2 126350c2 35378k2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5054b2

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
-	0	1	-	-2	-5	0	+	1	6	4	-4	-2	-8	0	-2	-7	-7	12	-15	-14	-4	-7	0	12

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Quadratic twists for elliptic curve 5054b2

-4	-3	5	-7	-19
40432m2	45486n2	126350c2	35378k2	5054a2

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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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