Cremona's table of elliptic curves

5848 = 2³ · 17 · 43

Field	Data	Notes
Atkin-Lehner	2- 17- 43+	Signs for the Atkin-Lehner involutions
Class	5848f	Isogeny class
Conductor	5848	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	129600	Modular degree for the optimal curve
Δ	9190841932455928832 = 210 · 175 · 436	Discriminant
Eigenvalues	2- -2 -2  4  0  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-685304,-162727808]	[a1,a2,a3,a4,a6]
Generators	[-272:1904:1]	Generators of the group modulo torsion
j	34759553520755733988/8975431574663993	j-invariant
L	2.7341058807883	L(r)(E,1)/r!
Ω	0.16910036577065	Real period
R	3.2337078259151	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11696h1 46784q1 52632b1 99416e1	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for elliptic curve 5848f1

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	4	0	2	-	0	-6	2	-10	6	-6	+	12	2	4	-10	4	-16	-8	2	-4	-10	14

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Quadratic twists for elliptic curve 5848f1

-4	8	-3	17
11696h1	46784q1	52632b1	99416e1

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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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