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	4	Product of Tamagawa factors cp
Δ	7958740140575 = 52 · 712 · 23	Discriminant
Eigenvalues	-1  0 5+ 7+ -4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5518,-79018]	[a1,a2,a3,a4,a6]
j	18577831198352049/7958740140575	j-invariant
L	0.57578304267277	L(r)(E,1)/r!
Ω	0.57578304267277	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	12880q4 51520z3 7245n4 4025c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 805c3

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 805c3

-4	8	-3	5	-7	-11	-23
12880q4	51520z3	7245n4	4025c3	5635k4	97405d3	18515n4

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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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