Cremona's table of elliptic curves

1856 = 2⁶ · 29

Field	Data	Notes
Atkin-Lehner	2- 29-	Signs for the Atkin-Lehner involutions
Class	1856l	Isogeny class
Conductor	1856	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	-21507498573824 = -1 · 220 · 295	Discriminant
Eigenvalues	2- -1 -1  2 -3  1  8  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-29121,1935457]	[a1,a2,a3,a4,a6]
Generators	[-59:1856:1]	Generators of the group modulo torsion
j	-10418796526321/82044596	j-invariant
L	2.4547220808008	L(r)(E,1)/r!
Ω	0.68357260750802	Real period
R	0.17955093971286	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1856a2 464c2 16704cf2 46400bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1856l2

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	-1	2	-3	1	8	0	-4	-	3	-8	2	-11	-13	11	0	8	-12	-2	4	-15	4	-10	-2

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Quadratic twists for elliptic curve 1856l2

-4	8	-3	5	-7	29
1856a2	464c2	16704cf2	46400bw2	90944dp2	53824u2

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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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