Cremona's table of elliptic curves

7260 = 2² · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	7260n	Isogeny class
Conductor	7260	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-685095855468750000 = -1 · 24 · 32 · 512 · 117	Discriminant
Eigenvalues	2- 3- 5+ -2 11- -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1890181,1000400300]	[a1,a2,a3,a4,a6]
j	-26348629355659264/24169921875	j-invariant
L	1.7092834269491	L(r)(E,1)/r!
Ω	0.28488057115819	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	29040ce3 116160cd3 21780x3 36300k3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7260n3

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

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Quadratic twists for elliptic curve 7260n3

-4	8	-3	5	-11
29040ce3	116160cd3	21780x3	36300k3	660d3

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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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