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	11280b	Isogeny class
Conductor	11280	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	3339244569600 = 210 · 310 · 52 · 472	Discriminant
Eigenvalues	2+ 3+ 5+  4 -4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-19056,1015056]	[a1,a2,a3,a4,a6]
Generators	[-112:1316:1]	Generators of the group modulo torsion
j	747380527031236/3260981025	j-invariant
L	3.7772407874434	L(r)(E,1)/r!
Ω	0.79818848498682	Real period
R	2.36613334976	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	5640c2 45120cy2 33840q2 56400v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11280b2

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

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Quadratic twists for elliptic curve 11280b2

-4	8	-3	5
5640c2	45120cy2	33840q2	56400v2

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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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