Cremona's table of elliptic curves

11280 = 2⁴ · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 47+	Signs for the Atkin-Lehner involutions
Class	11280r	Isogeny class
Conductor	11280	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-89818398720000 = -1 · 222 · 36 · 54 · 47	Discriminant
Eigenvalues	2- 3- 5+  0  2 -4  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,5184,434484]	[a1,a2,a3,a4,a6]
Generators	[-36:450:1]	Generators of the group modulo torsion
j	3760754329151/21928320000	j-invariant
L	5.2333241977687	L(r)(E,1)/r!
Ω	0.43640651772797	Real period
R	0.99932134855491	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	1410j1 45120ca1 33840cq1 56400bq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11280r1

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

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Quadratic twists for elliptic curve 11280r1

-4	8	-3	5
1410j1	45120ca1	33840cq1	56400bq1

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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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