Cremona's table of elliptic curves

106575 = 3 · 5² · 7² · 29

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 29-	Signs for the Atkin-Lehner involutions
Class	106575ca	Isogeny class
Conductor	106575	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	-3.3562559337436E+25	Discriminant
Eigenvalues	1 3- 5+ 7-  0  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-41270276,-296828114677]	[a1,a2,a3,a4,a6]
j	-4228901316132262561/18257731027003125	j-invariant
L	4.3326849157016	L(r)(E,1)/r!
Ω	0.027079282796083	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	21315e2 15225b2	Quadratic twists by: 5 -7

Hecke Eigenvalues for elliptic curve 106575ca2

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	-	+	-	0	0	-4	4	4	-	8	0	10	4	12	12	0	6	-4	-2	-6	6	-4	-14	10

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Quadratic twists for elliptic curve 106575ca2

5	-7
21315e2	15225b2

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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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