Cremona's table of elliptic curves

4921 = 7 · 19 · 37

Field	Data	Notes
Atkin-Lehner	7- 19- 37+	Signs for the Atkin-Lehner involutions
Class	4921c	Isogeny class
Conductor	4921	Conductor
∏ cp	11	Product of Tamagawa factors cp
deg	33264	Modular degree for the optimal curve
Δ	-1902993098750401 = -1 · 711 · 19 · 373	Discriminant
Eigenvalues	-1  2 -3 7- -2  6 -7 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-48052,-4585370]	[a1,a2,a3,a4,a6]
Generators	[880:24770:1]	Generators of the group modulo torsion
j	-12270398920207025473/1902993098750401	j-invariant
L	2.8322020989046	L(r)(E,1)/r!
Ω	0.15986272235766	Real period
R	1.6105875984409	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	78736j1 44289k1 123025h1 34447d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4921c1

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	2	-3	-	-2	6	-7	-	0	3	3	+	2	5	7	-6	-13	10	11	1	-8	-12	-9	-8	-14

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Quadratic twists for elliptic curve 4921c1

-4	-3	5	-7	-19
78736j1	44289k1	123025h1	34447d1	93499j1

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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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