Cremona's table of elliptic curves

105 = 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	105a	Isogeny class
Conductor	105	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	13125 = 3 · 54 · 7	Discriminant
Eigenvalues	1 3- 5- 7-  0 -6  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-113,-469]	[a1,a2,a3,a4,a6]
j	157551496201/13125	j-invariant
L	1.4658633634193	L(r)(E,1)/r!
Ω	1.4658633634193	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1680n3 6720g3 315b3 525a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 105a3

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	-6	2	-8	8	-2	4	-2	-6	4	8	10	4	-2	4	-12	-2	8	-4	-6	-18

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Quadratic twists for elliptic curve 105a3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1680n3	6720g3	315b3	525a3	735a3	12705n3	17745n3	30345b4	37905k4	55545g4	88305k4	100905g4

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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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