Cremona's table of elliptic curves

1805 = 5 · 19²

Field	Data	Notes
Atkin-Lehner	5+ 19-	Signs for the Atkin-Lehner involutions
Class	1805b	Isogeny class
Conductor	1805	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	705078125 = 59 · 192	Discriminant
Eigenvalues	0  2 5+ -4  3 -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-291,1522]	[a1,a2,a3,a4,a6]
j	7575076864/1953125	j-invariant
L	1.5047754359126	L(r)(E,1)/r!
Ω	1.5047754359126	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	28880z2 115520bg2 16245j2 9025d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1805b2

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
0	2	+	-4	3	-2	6	-	0	3	7	-8	6	-4	6	6	15	5	-2	3	8	-5	12	15	-8

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Quadratic twists for elliptic curve 1805b2

-4	8	-3	5	-7	-19
28880z2	115520bg2	16245j2	9025d2	88445bp2	1805a2

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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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