Cremona's table of elliptic curves

10100 = 2² · 5² · 101

Field	Data	Notes
Atkin-Lehner	2- 5+ 101+	Signs for the Atkin-Lehner involutions
Class	10100c	Isogeny class
Conductor	10100	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	4121204000000 = 28 · 56 · 1013	Discriminant
Eigenvalues	2-  2 5+ -2 -6 -5 -3  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5733,-133663]	[a1,a2,a3,a4,a6]
j	5210570752/1030301	j-invariant
L	1.6686829371842	L(r)(E,1)/r!
Ω	0.55622764572807	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40400o2 90900o2 404b2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 10100c2

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
-	2	+	-2	-6	-5	-3	5	-3	0	5	10	12	-8	3	6	-6	8	10	-9	4	5	12	6	-2

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Quadratic twists for elliptic curve 10100c2

-4	-3	5
40400o2	90900o2	404b2

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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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