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	7260k	Isogeny class
Conductor	7260	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3395444675040000 = 28 · 32 · 54 · 119	Discriminant
Eigenvalues	2- 3- 5+  4 11+ -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-52796,-3751596]	[a1,a2,a3,a4,a6]
Generators	[150728:1285725:512]	Generators of the group modulo torsion
j	26962544/5625	j-invariant
L	5.1413223663601	L(r)(E,1)/r!
Ω	0.31958828585553	Real period
R	8.0436652310281	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29040bx2 116160bl2 21780p2 36300d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7260k2

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

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Quadratic twists for elliptic curve 7260k2

-4	8	-3	5	-11
29040bx2	116160bl2	21780p2	36300d2	7260l2

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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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