Cremona's table of elliptic curves

805 = 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	5+ 7+ 23-	Signs for the Atkin-Lehner involutions
Class	805c	Isogeny class
Conductor	805	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	3081640625 = 58 · 73 · 23	Discriminant
Eigenvalues	-1  0 5+ 7+ -4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-42088,3333906]	[a1,a2,a3,a4,a6]
j	8244966675515989329/3081640625	j-invariant
L	0.57578304267277	L(r)(E,1)/r!
Ω	1.1515660853455	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12880q3 51520z4 7245n3 4025c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 805c4

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

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Quadratic twists for elliptic curve 805c4

-4	8	-3	5	-7	-11	-23
12880q3	51520z4	7245n3	4025c4	5635k3	97405d4	18515n3

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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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