Cremona's table of elliptic curves

6120 = 2³ · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 17-	Signs for the Atkin-Lehner involutions
Class	6120l	Isogeny class
Conductor	6120	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	935221386240 = 210 · 37 · 5 · 174	Discriminant
Eigenvalues	2+ 3- 5-  0  4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3747,-75026]	[a1,a2,a3,a4,a6]
j	7793764996/1252815	j-invariant
L	2.4673656174277	L(r)(E,1)/r!
Ω	0.61684140435693	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	12240u4 48960by3 2040m4 30600bz3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120l3

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

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Quadratic twists for elliptic curve 6120l3

-4	8	-3	5	17
12240u4	48960by3	2040m4	30600bz3	104040j3

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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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