Cremona's table of elliptic curves

848 = 2⁴ · 53

Field	Data	Notes
Atkin-Lehner	2- 53+	Signs for the Atkin-Lehner involutions
Class	848b	Isogeny class
Conductor	848	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-156108849152 = -1 · 220 · 533	Discriminant
Eigenvalues	2- -1  0  4  0  5 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-393648,95194048]	[a1,a2,a3,a4,a6]
j	-1646982616152408625/38112512	j-invariant
L	1.485768467295	L(r)(E,1)/r!
Ω	0.74288423364752	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	106c2 3392p2 7632m2 21200p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 848b2

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	0	4	0	5	-3	1	-3	9	4	5	6	10	-6	+	-6	8	4	3	-4	13	-3	18	-7

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Quadratic twists for elliptic curve 848b2

-4	8	-3	5	-7	-11	53
106c2	3392p2	7632m2	21200p2	41552be2	102608r2	44944b2

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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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