Cremona's table of elliptic curves

6105 = 3 · 5 · 11 · 37

Field	Data	Notes
Atkin-Lehner	3- 5- 11- 37-	Signs for the Atkin-Lehner involutions
Class	6105j	Isogeny class
Conductor	6105	Conductor
∏ cp	768	Product of Tamagawa factors cp
Δ	3.6324726778345E+20	Discriminant
Eigenvalues	-1 3- 5-  0 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4679670,-3787420725]	[a1,a2,a3,a4,a6]
Generators	[-1185:10305:1]	Generators of the group modulo torsion
j	11333639745879776048285281/363247267783447265625	j-invariant
L	3.3097696397621	L(r)(E,1)/r!
Ω	0.10284860004823	Real period
R	0.6704372653529	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	97680bp4 18315i3 30525g4 67155t4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6105j3

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	-	-2	2	4	0	-10	-8	-	-6	-12	0	-10	4	6	4	-8	2	16	12	-6	-14

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Quadratic twists for elliptic curve 6105j3

-4	-3	5	-11
97680bp4	18315i3	30525g4	67155t4

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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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