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	192	Product of Tamagawa factors cp
Δ	-1.0369964231862E+21	Discriminant
Eigenvalues	-1 3- 5-  0 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,2087860,1025899017]	[a1,a2,a3,a4,a6]
Generators	[544:47923:1]	Generators of the group modulo torsion
j	1006532543306929489208639/1036996423186211519625	j-invariant
L	3.3097696397621	L(r)(E,1)/r!
Ω	0.10284860004823	Real period
R	2.6817490614116	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	97680bp3 18315i4 30525g3 67155t3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6105j4

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 6105j4

-4	-3	5	-11
97680bp3	18315i4	30525g3	67155t3

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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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