Cremona's table of elliptic curves

1881 = 3² · 11 · 19

Field	Data	Notes
Atkin-Lehner	3- 11+ 19-	Signs for the Atkin-Lehner involutions
Class	1881a	Isogeny class
Conductor	1881	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-1485062667 = -1 · 39 · 11 · 193	Discriminant
Eigenvalues	0 3-  0  2 11+ -1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-270570,54171090]	[a1,a2,a3,a4,a6]
Generators	[278:661:1]	Generators of the group modulo torsion
j	-3004935183806464000/2037123	j-invariant
L	2.6148347590918	L(r)(E,1)/r!
Ω	0.93349899604174	Real period
R	2.1008336137848	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	30096bd2 120384bg2 627b2 47025q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1881a2

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	-	0	2	+	-1	-3	-	-6	0	8	2	-6	8	6	-9	-3	-10	-10	3	-4	-13	3	-15	-10

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Quadratic twists for elliptic curve 1881a2

-4	8	-3	5	-7	-11	-19
30096bd2	120384bg2	627b2	47025q2	92169k2	20691m2	35739n2

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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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