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	24	Product of Tamagawa factors cp
deg	2208	Modular degree for the optimal curve
Δ	1321601913 = 38 · 173 · 41	Discriminant
Eigenvalues	1 3-  2  4  0 -6 17-  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4170,-103961]	[a1,a2,a3,a4,a6]
j	8016451263971353/1321601913	j-invariant
L	3.5647868275032	L(r)(E,1)/r!
Ω	0.59413113791719	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	33456o1 6273a1 52275b1 102459e1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2091b1

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 2091b1

-4	-3	5	-7	17	41
33456o1	6273a1	52275b1	102459e1	35547b1	85731a1

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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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