Cremona's table of elliptic curves

101 = Prime conductor

Field	Data	Notes
Atkin-Lehner	101+	Signs for the Atkin-Lehner involutions
Class	101a	Isogeny class
Conductor	101	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2	Modular degree for the optimal curve
Δ	101 = Prime discriminant	Discriminant
Eigenvalues	0 -2 -1 -2 -2  1  3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-1,-1]	[a1,a2,a3,a4,a6]
Generators	[-1:0:1]	Generators of the group modulo torsion
j	262144/101	j-invariant
L	0.75602956568443	L(r)(E,1)/r!
Ω	4.5902472118654	Real period
R	0.16470345294915	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	1616c1 6464f1 909c1 2525a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 101a1

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	-1	-2	-2	1	3	-5	1	-4	-9	-2	8	-8	7	-2	-14	4	2	13	8	-9	-4	14	2

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Quadratic twists for elliptic curve 101a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	101
1616c1	6464f1	909c1	2525a1	4949d1	12221c1	17069a1	29189a1	36461a1	53429a1	84941a1	97061b1	10201a1

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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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