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	5848d	Isogeny class
Conductor	5848	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	10560	Modular degree for the optimal curve
Δ	-639780743936 = -1 · 28 · 17 · 435	Discriminant
Eigenvalues	2+ -1 -3 -4 -4  5 17-  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2452,61364]	[a1,a2,a3,a4,a6]
Generators	[14:172:1]	Generators of the group modulo torsion
j	-6371214852688/2499143531	j-invariant
L	1.9405057155971	L(r)(E,1)/r!
Ω	0.85600754762326	Real period
R	0.22669259412315	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	11696e1 46784m1 52632o1 99416c1	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for elliptic curve 5848d1

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	-3	-4	-4	5	-	8	-4	2	-6	3	-8	-	9	13	-15	3	3	-3	11	10	-9	8	12

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Quadratic twists for elliptic curve 5848d1

-4	8	-3	17
11696e1	46784m1	52632o1	99416c1

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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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