Cremona's table of elliptic curves

10556 = 2² · 7 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2- 7+ 13- 29-	Signs for the Atkin-Lehner involutions
Class	10556b	Isogeny class
Conductor	10556	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	254695168 = 28 · 7 · 132 · 292	Discriminant
Eigenvalues	2-  0  2 7+  2 13-  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6319,-193338]	[a1,a2,a3,a4,a6]
j	109000581015888/994903	j-invariant
L	2.1418926227247	L(r)(E,1)/r!
Ω	0.53547315568118	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	42224o2 95004e2 73892h2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 10556b2

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	+	2	-	4	-4	0	-	-4	2	-12	2	8	10	12	0	-8	0	0	10	12	0	8

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Quadratic twists for elliptic curve 10556b2

-4	-3	-7
42224o2	95004e2	73892h2

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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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