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	805d	Isogeny class
Conductor	805	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	360	Modular degree for the optimal curve
Δ	-907235 = -1 · 5 · 73 · 232	Discriminant
Eigenvalues	2  3 5+ 7+ -1  7  3 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-13,49]	[a1,a2,a3,a4,a6]
j	-242970624/907235	j-invariant
L	4.8945553199218	L(r)(E,1)/r!
Ω	2.4472776599609	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	12880r1 51520bd1 7245o1 4025d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 805d1

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	3	+	+	-1	7	3	-8	-	-5	-2	-4	-8	6	3	2	2	-14	-4	8	-6	-3	12	-2	7

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Quadratic twists for elliptic curve 805d1

-4	8	-3	5	-7	-11	-23
12880r1	51520bd1	7245o1	4025d1	5635m1	97405f1	18515u1

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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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