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	2	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	14618880 = 28 · 35 · 5 · 47	Discriminant
Eigenvalues	2+ 3+ 5+  4 -4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-19036,1017280]	[a1,a2,a3,a4,a6]
Generators	[276:4088:1]	Generators of the group modulo torsion
j	2980119295136464/57105	j-invariant
L	3.7772407874434	L(r)(E,1)/r!
Ω	1.5963769699736	Real period
R	4.73226669952	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	5640c1 45120cy1 33840q1 56400v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11280b1

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 11280b1

-4	8	-3	5
5640c1	45120cy1	33840q1	56400v1

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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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