Cremona's table of elliptic curves

858 = 2 · 3 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 11- 13-	Signs for the Atkin-Lehner involutions
Class	858d	Isogeny class
Conductor	858	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-119573538788081664 = -1 · 239 · 32 · 11 · 133	Discriminant
Eigenvalues	2+ 3-  3 -1 11- 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-80722,18827108]	[a1,a2,a3,a4,a6]
j	-58169016237585194137/119573538788081664	j-invariant
L	1.7694033452319	L(r)(E,1)/r!
Ω	0.29490055753866	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	6864o2 27456e2 2574v2 21450bt2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 858d2

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
+	-	3	-1	-	-	0	2	3	-3	8	2	-9	5	0	-6	-3	-1	11	-6	-1	2	18	0	2

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Quadratic twists for elliptic curve 858d2

-4	8	-3	5	-7	-11	13
6864o2	27456e2	2574v2	21450bt2	42042v2	9438bd2	11154be2

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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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