Cremona's table of elliptic curves

1010 = 2 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 5- 101+	Signs for the Atkin-Lehner involutions
Class	1010a	Isogeny class
Conductor	1010	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	896	Modular degree for the optimal curve
Δ	-5050000000 = -1 · 27 · 58 · 101	Discriminant
Eigenvalues	2-  0 5- -5  0 -4 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,428,-329]	[a1,a2,a3,a4,a6]
Generators	[61:469:1]	Generators of the group modulo torsion
j	8689723536879/5050000000	j-invariant
L	3.2061810233534	L(r)(E,1)/r!
Ω	0.80789834589008	Real period
R	0.070866876818277	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	8080g1 32320e1 9090g1 5050a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1010a1

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	-	-5	0	-4	-3	-7	6	-7	4	8	-8	11	2	-7	-12	-11	6	-2	4	2	12	0	-11

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Quadratic twists for elliptic curve 1010a1

-4	8	-3	5	-7	-11	101
8080g1	32320e1	9090g1	5050a1	49490k1	122210f1	102010a1

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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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