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
deg	47880	Modular degree for the optimal curve
Δ	-447574222639176416 = -1 · 25 · 77 · 198	Discriminant
Eigenvalues	2-  0  1 7- -2 -5  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,20148,32163887]	[a1,a2,a3,a4,a6]
Generators	[271:7445:1]	Generators of the group modulo torsion
j	53261199/26353376	j-invariant
L	5.6836417881674	L(r)(E,1)/r!
Ω	0.23104263642921	Real period
R	0.23428542293602	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	40432m1 45486n1 126350c1 35378k1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5054b1

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 5054b1

-4	-3	5	-7	-19
40432m1	45486n1	126350c1	35378k1	5054a1

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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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