Cremona's table of elliptic curves

2091 = 3 · 17 · 41

Field	Data	Notes
Atkin-Lehner	3- 17- 41-	Signs for the Atkin-Lehner involutions
Class	2091b	Isogeny class
Conductor	2091	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-3286595532609 = -1 · 34 · 176 · 412	Discriminant
Eigenvalues	1 3-  2  4  0 -6 17-  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3765,-124859]	[a1,a2,a3,a4,a6]
j	-5900011075468873/3286595532609	j-invariant
L	3.5647868275032	L(r)(E,1)/r!
Ω	0.2970655689586	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	33456o2 6273a2 52275b2 102459e2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2091b2

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	-	2	4	0	-6	-	6	6	2	10	2	-	-4	-6	-6	0	-6	10	0	-14	4	8	2	6

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Quadratic twists for elliptic curve 2091b2

-4	-3	5	-7	17	41
33456o2	6273a2	52275b2	102459e2	35547b2	85731a2

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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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